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Finding the Fourth Proportional to 876.68, 1,209.71 and 503.57

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Solution

The fourth proportional to 876.68, 1,209.71 and 503.57 is: 694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.68 : 1,209.71 = 503.57 : x
  2. Step 2: Convert to fraction form
    876.68/1,209.71 = 503.57/x
  3. Step 3: Cross multiply
    876.68x = 1,209.71 × 503.57
  4. Step 4: Simplify right side
    876.68x = 609,165.10
  5. Step 5: Solve for x
    x = 609,165.10/876.68
  6. Step 6: Final answer
    x = 694.86

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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.