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Finding the Fourth Proportional to 1,545.08, 2,316.60 and 557.48

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Solution

The fourth proportional to 1,545.08, 2,316.60 and 557.48 is: 835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.08 : 2,316.60 = 557.48 : x
  2. Step 2: Convert to fraction form
    1,545.08/2,316.60 = 557.48/x
  3. Step 3: Cross multiply
    1,545.08x = 2,316.60 × 557.48
  4. Step 4: Simplify right side
    1,545.08x = 1,291,463.96
  5. Step 5: Solve for x
    x = 1,291,463.96/1,545.08
  6. Step 6: Final answer
    x = 835.86

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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.