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Finding the Fourth Proportional to 1,032.32, 1,547.69 and 484.49

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Solution

The fourth proportional to 1,032.32, 1,547.69 and 484.49 is: 726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.32 : 1,547.69 = 484.49 : x
  2. Step 2: Convert to fraction form
    1,032.32/1,547.69 = 484.49/x
  3. Step 3: Cross multiply
    1,032.32x = 1,547.69 × 484.49
  4. Step 4: Simplify right side
    1,032.32x = 749,830.17
  5. Step 5: Solve for x
    x = 749,830.17/1,032.32
  6. Step 6: Final answer
    x = 726.36

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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.