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Finding the Fourth Proportional to 1,529.78, 2,294.62 and 434.13

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Solution

The fourth proportional to 1,529.78, 2,294.62 and 434.13 is: 651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.78 : 2,294.62 = 434.13 : x
  2. Step 2: Convert to fraction form
    1,529.78/2,294.62 = 434.13/x
  3. Step 3: Cross multiply
    1,529.78x = 2,294.62 × 434.13
  4. Step 4: Simplify right side
    1,529.78x = 996,151.91
  5. Step 5: Solve for x
    x = 996,151.91/1,529.78
  6. Step 6: Final answer
    x = 651.18

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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.