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Finding the Fourth Proportional to 1,192.44, 1,645.53 and 695.10

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Solution

The fourth proportional to 1,192.44, 1,645.53 and 695.10 is: 959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.44 : 1,645.53 = 695.10 : x
  2. Step 2: Convert to fraction form
    1,192.44/1,645.53 = 695.10/x
  3. Step 3: Cross multiply
    1,192.44x = 1,645.53 × 695.10
  4. Step 4: Simplify right side
    1,192.44x = 1,143,807.90
  5. Step 5: Solve for x
    x = 1,143,807.90/1,192.44
  6. Step 6: Final answer
    x = 959.22

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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.