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Finding the Fourth Proportional to 1,057.90, 1,587.23 and 472.85

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Solution

The fourth proportional to 1,057.90, 1,587.23 and 472.85 is: 709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.90 : 1,587.23 = 472.85 : x
  2. Step 2: Convert to fraction form
    1,057.90/1,587.23 = 472.85/x
  3. Step 3: Cross multiply
    1,057.90x = 1,587.23 × 472.85
  4. Step 4: Simplify right side
    1,057.90x = 750,529.83
  5. Step 5: Solve for x
    x = 750,529.83/1,057.90
  6. Step 6: Final answer
    x = 709.45

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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.