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Finding the Fourth Proportional to 878.80, 1,318.20 and 416.77

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Solution

The fourth proportional to 878.80, 1,318.20 and 416.77 is: 625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.80 : 1,318.20 = 416.77 : x
  2. Step 2: Convert to fraction form
    878.80/1,318.20 = 416.77/x
  3. Step 3: Cross multiply
    878.80x = 1,318.20 × 416.77
  4. Step 4: Simplify right side
    878.80x = 549,386.21
  5. Step 5: Solve for x
    x = 549,386.21/878.80
  6. Step 6: Final answer
    x = 625.16

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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.