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Finding the Fourth Proportional to 1,021.71, 1,532.87 and 436.41

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Solution

The fourth proportional to 1,021.71, 1,532.87 and 436.41 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.71 : 1,532.87 = 436.41 : x
  2. Step 2: Convert to fraction form
    1,021.71/1,532.87 = 436.41/x
  3. Step 3: Cross multiply
    1,021.71x = 1,532.87 × 436.41
  4. Step 4: Simplify right side
    1,021.71x = 668,957.61
  5. Step 5: Solve for x
    x = 668,957.61/1,021.71
  6. Step 6: Final answer
    x = 654.74

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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.