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Finding the Fourth Proportional to 1,604.71, 2,407.38 and 508.78

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Solution

The fourth proportional to 1,604.71, 2,407.38 and 508.78 is: 763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.71 : 2,407.38 = 508.78 : x
  2. Step 2: Convert to fraction form
    1,604.71/2,407.38 = 508.78/x
  3. Step 3: Cross multiply
    1,604.71x = 2,407.38 × 508.78
  4. Step 4: Simplify right side
    1,604.71x = 1,224,826.80
  5. Step 5: Solve for x
    x = 1,224,826.80/1,604.71
  6. Step 6: Final answer
    x = 763.27

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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.