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Finding the Fourth Proportional to 1,111.64, 1,534.04 and 607.47

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Solution

The fourth proportional to 1,111.64, 1,534.04 and 607.47 is: 838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.64 : 1,534.04 = 607.47 : x
  2. Step 2: Convert to fraction form
    1,111.64/1,534.04 = 607.47/x
  3. Step 3: Cross multiply
    1,111.64x = 1,534.04 × 607.47
  4. Step 4: Simplify right side
    1,111.64x = 931,885.99
  5. Step 5: Solve for x
    x = 931,885.99/1,111.64
  6. Step 6: Final answer
    x = 838.30

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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.