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Finding the Fourth Proportional to 1,534.78, 2,302.17 and 508.78

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Solution

The fourth proportional to 1,534.78, 2,302.17 and 508.78 is: 763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.78 : 2,302.17 = 508.78 : x
  2. Step 2: Convert to fraction form
    1,534.78/2,302.17 = 508.78/x
  3. Step 3: Cross multiply
    1,534.78x = 2,302.17 × 508.78
  4. Step 4: Simplify right side
    1,534.78x = 1,171,298.05
  5. Step 5: Solve for x
    x = 1,171,298.05/1,534.78
  6. Step 6: Final answer
    x = 763.17

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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.