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Finding the Fourth Proportional to 1,587.05, 2,381.46 and 600.53

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Solution

The fourth proportional to 1,587.05, 2,381.46 and 600.53 is: 901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.05 : 2,381.46 = 600.53 : x
  2. Step 2: Convert to fraction form
    1,587.05/2,381.46 = 600.53/x
  3. Step 3: Cross multiply
    1,587.05x = 2,381.46 × 600.53
  4. Step 4: Simplify right side
    1,587.05x = 1,430,126.27
  5. Step 5: Solve for x
    x = 1,430,126.27/1,587.05
  6. Step 6: Final answer
    x = 901.13

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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.