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Finding the Fourth Proportional to 877.92, 1,316.07 and 569.93

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Solution

The fourth proportional to 877.92, 1,316.07 and 569.93 is: 854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.92 : 1,316.07 = 569.93 : x
  2. Step 2: Convert to fraction form
    877.92/1,316.07 = 569.93/x
  3. Step 3: Cross multiply
    877.92x = 1,316.07 × 569.93
  4. Step 4: Simplify right side
    877.92x = 750,061.19
  5. Step 5: Solve for x
    x = 750,061.19/877.92
  6. Step 6: Final answer
    x = 854.36

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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.