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Finding the Fourth Proportional to 876.18, 1,209.33 and 565.14

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Solution

The fourth proportional to 876.18, 1,209.33 and 565.14 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.18 : 1,209.33 = 565.14 : x
  2. Step 2: Convert to fraction form
    876.18/1,209.33 = 565.14/x
  3. Step 3: Cross multiply
    876.18x = 1,209.33 × 565.14
  4. Step 4: Simplify right side
    876.18x = 683,440.76
  5. Step 5: Solve for x
    x = 683,440.76/876.18
  6. Step 6: Final answer
    x = 780.02

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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.