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Finding the Fourth Proportional to 1,052.38, 1,577.76 and 436.24

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Solution

The fourth proportional to 1,052.38, 1,577.76 and 436.24 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.38 : 1,577.76 = 436.24 : x
  2. Step 2: Convert to fraction form
    1,052.38/1,577.76 = 436.24/x
  3. Step 3: Cross multiply
    1,052.38x = 1,577.76 × 436.24
  4. Step 4: Simplify right side
    1,052.38x = 688,282.02
  5. Step 5: Solve for x
    x = 688,282.02/1,052.38
  6. Step 6: Final answer
    x = 654.02

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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.