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Finding the Fourth Proportional to 877.38, 1,316.07 and 511.80

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Solution

The fourth proportional to 877.38, 1,316.07 and 511.80 is: 767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,316.07 = 511.80 : x
  2. Step 2: Convert to fraction form
    877.38/1,316.07 = 511.80/x
  3. Step 3: Cross multiply
    877.38x = 1,316.07 × 511.80
  4. Step 4: Simplify right side
    877.38x = 673,564.63
  5. Step 5: Solve for x
    x = 673,564.63/877.38
  6. Step 6: Final answer
    x = 767.70

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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.