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Finding the Fourth Proportional to 1,106.32, 1,526.44 and 664.24

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Solution

The fourth proportional to 1,106.32, 1,526.44 and 664.24 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.32 : 1,526.44 = 664.24 : x
  2. Step 2: Convert to fraction form
    1,106.32/1,526.44 = 664.24/x
  3. Step 3: Cross multiply
    1,106.32x = 1,526.44 × 664.24
  4. Step 4: Simplify right side
    1,106.32x = 1,013,922.51
  5. Step 5: Solve for x
    x = 1,013,922.51/1,106.32
  6. Step 6: Final answer
    x = 916.48

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.