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Finding the Fourth Proportional to 877.86, 1,317.31 and 390.85

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Solution

The fourth proportional to 877.86, 1,317.31 and 390.85 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.86 : 1,317.31 = 390.85 : x
  2. Step 2: Convert to fraction form
    877.86/1,317.31 = 390.85/x
  3. Step 3: Cross multiply
    877.86x = 1,317.31 × 390.85
  4. Step 4: Simplify right side
    877.86x = 514,866.34
  5. Step 5: Solve for x
    x = 514,866.34/877.86
  6. Step 6: Final answer
    x = 586.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.