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Finding the Fourth Proportional to 1,052.62, 1,575.95 and 557.90

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Solution

The fourth proportional to 1,052.62, 1,575.95 and 557.90 is: 835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.62 : 1,575.95 = 557.90 : x
  2. Step 2: Convert to fraction form
    1,052.62/1,575.95 = 557.90/x
  3. Step 3: Cross multiply
    1,052.62x = 1,575.95 × 557.90
  4. Step 4: Simplify right side
    1,052.62x = 879,219.72
  5. Step 5: Solve for x
    x = 879,219.72/1,052.62
  6. Step 6: Final answer
    x = 835.27

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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.