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Finding the Fourth Proportional to 878.04, 1,210.50 and 567

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Solution

The fourth proportional to 878.04, 1,210.50 and 567 is: 781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.04 : 1,210.50 = 567 : x
  2. Step 2: Convert to fraction form
    878.04/1,210.50 = 567/x
  3. Step 3: Cross multiply
    878.04x = 1,210.50 × 567
  4. Step 4: Simplify right side
    878.04x = 686,353.50
  5. Step 5: Solve for x
    x = 686,353.50/878.04
  6. Step 6: Final answer
    x = 781.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.