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Finding the Fourth Proportional to 1,025.12, 1,537.02 and 477.47

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Solution

The fourth proportional to 1,025.12, 1,537.02 and 477.47 is: 715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.12 : 1,537.02 = 477.47 : x
  2. Step 2: Convert to fraction form
    1,025.12/1,537.02 = 477.47/x
  3. Step 3: Cross multiply
    1,025.12x = 1,537.02 × 477.47
  4. Step 4: Simplify right side
    1,025.12x = 733,873.25
  5. Step 5: Solve for x
    x = 733,873.25/1,025.12
  6. Step 6: Final answer
    x = 715.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.