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Finding the Fourth Proportional to 876.55, 1,209.66 and 503.73

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Solution

The fourth proportional to 876.55, 1,209.66 and 503.73 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.55 : 1,209.66 = 503.73 : x
  2. Step 2: Convert to fraction form
    876.55/1,209.66 = 503.73/x
  3. Step 3: Cross multiply
    876.55x = 1,209.66 × 503.73
  4. Step 4: Simplify right side
    876.55x = 609,342.03
  5. Step 5: Solve for x
    x = 609,342.03/876.55
  6. Step 6: Final answer
    x = 695.16

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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.