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Finding the Fourth Proportional to 877.93, 1,315.17 and 584.57

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Solution

The fourth proportional to 877.93, 1,315.17 and 584.57 is: 875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.93 : 1,315.17 = 584.57 : x
  2. Step 2: Convert to fraction form
    877.93/1,315.17 = 584.57/x
  3. Step 3: Cross multiply
    877.93x = 1,315.17 × 584.57
  4. Step 4: Simplify right side
    877.93x = 768,812.21
  5. Step 5: Solve for x
    x = 768,812.21/877.93
  6. Step 6: Final answer
    x = 875.71

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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.