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Finding the Fourth Proportional to 1,057.65, 1,587.42 and 503.05

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Solution

The fourth proportional to 1,057.65, 1,587.42 and 503.05 is: 755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.65 : 1,587.42 = 503.05 : x
  2. Step 2: Convert to fraction form
    1,057.65/1,587.42 = 503.05/x
  3. Step 3: Cross multiply
    1,057.65x = 1,587.42 × 503.05
  4. Step 4: Simplify right side
    1,057.65x = 798,543.69
  5. Step 5: Solve for x
    x = 798,543.69/1,057.65
  6. Step 6: Final answer
    x = 755.02

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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.