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Finding the Fourth Proportional to 1,545.09, 2,316.51 and 571.02

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Solution

The fourth proportional to 1,545.09, 2,316.51 and 571.02 is: 856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.09 : 2,316.51 = 571.02 : x
  2. Step 2: Convert to fraction form
    1,545.09/2,316.51 = 571.02/x
  3. Step 3: Cross multiply
    1,545.09x = 2,316.51 × 571.02
  4. Step 4: Simplify right side
    1,545.09x = 1,322,773.54
  5. Step 5: Solve for x
    x = 1,322,773.54/1,545.09
  6. Step 6: Final answer
    x = 856.11

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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.