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Finding the Fourth Proportional to 1,052.14, 1,577.08 and 503.56

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Solution

The fourth proportional to 1,052.14, 1,577.08 and 503.56 is: 754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.14 : 1,577.08 = 503.56 : x
  2. Step 2: Convert to fraction form
    1,052.14/1,577.08 = 503.56/x
  3. Step 3: Cross multiply
    1,052.14x = 1,577.08 × 503.56
  4. Step 4: Simplify right side
    1,052.14x = 794,154.40
  5. Step 5: Solve for x
    x = 794,154.40/1,052.14
  6. Step 6: Final answer
    x = 754.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.