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Finding the Fourth Proportional to 876.82, 1,209.96 and 503.74

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Solution

The fourth proportional to 876.82, 1,209.96 and 503.74 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.82 : 1,209.96 = 503.74 : x
  2. Step 2: Convert to fraction form
    876.82/1,209.96 = 503.74/x
  3. Step 3: Cross multiply
    876.82x = 1,209.96 × 503.74
  4. Step 4: Simplify right side
    876.82x = 609,505.25
  5. Step 5: Solve for x
    x = 609,505.25/876.82
  6. Step 6: Final answer
    x = 695.13

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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.