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Finding the Fourth Proportional to 1,524.76, 2,287.16 and 429.16

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Solution

The fourth proportional to 1,524.76, 2,287.16 and 429.16 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.76 : 2,287.16 = 429.16 : x
  2. Step 2: Convert to fraction form
    1,524.76/2,287.16 = 429.16/x
  3. Step 3: Cross multiply
    1,524.76x = 2,287.16 × 429.16
  4. Step 4: Simplify right side
    1,524.76x = 981,557.59
  5. Step 5: Solve for x
    x = 981,557.59/1,524.76
  6. Step 6: Final answer
    x = 643.75

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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.