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Finding the Fourth Proportional to 1,031.92, 1,547.86 and 415.61

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Solution

The fourth proportional to 1,031.92, 1,547.86 and 415.61 is: 623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.92 : 1,547.86 = 415.61 : x
  2. Step 2: Convert to fraction form
    1,031.92/1,547.86 = 415.61/x
  3. Step 3: Cross multiply
    1,031.92x = 1,547.86 × 415.61
  4. Step 4: Simplify right side
    1,031.92x = 643,305.72
  5. Step 5: Solve for x
    x = 643,305.72/1,031.92
  6. Step 6: Final answer
    x = 623.41

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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.