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Finding the Fourth Proportional to 1,031.31, 1,547.02 and 415.01

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Solution

The fourth proportional to 1,031.31, 1,547.02 and 415.01 is: 622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.31 : 1,547.02 = 415.01 : x
  2. Step 2: Convert to fraction form
    1,031.31/1,547.02 = 415.01/x
  3. Step 3: Cross multiply
    1,031.31x = 1,547.02 × 415.01
  4. Step 4: Simplify right side
    1,031.31x = 642,024.90
  5. Step 5: Solve for x
    x = 642,024.90/1,031.31
  6. Step 6: Final answer
    x = 622.54

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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.