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Finding the Fourth Proportional to 1,031.68, 1,547.48 and 415.20

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Solution

The fourth proportional to 1,031.68, 1,547.48 and 415.20 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.68 : 1,547.48 = 415.20 : x
  2. Step 2: Convert to fraction form
    1,031.68/1,547.48 = 415.20/x
  3. Step 3: Cross multiply
    1,031.68x = 1,547.48 × 415.20
  4. Step 4: Simplify right side
    1,031.68x = 642,513.70
  5. Step 5: Solve for x
    x = 642,513.70/1,031.68
  6. Step 6: Final answer
    x = 622.78

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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.