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Finding the Fourth Proportional to 876.94, 1,209.50 and 562.24

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Solution

The fourth proportional to 876.94, 1,209.50 and 562.24 is: 775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 1,209.50 = 562.24 : x
  2. Step 2: Convert to fraction form
    876.94/1,209.50 = 562.24/x
  3. Step 3: Cross multiply
    876.94x = 1,209.50 × 562.24
  4. Step 4: Simplify right side
    876.94x = 680,020.42
  5. Step 5: Solve for x
    x = 680,020.42/876.94
  6. Step 6: Final answer
    x = 775.45

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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.