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Finding the Fourth Proportional to 876.53, 1,209.57 and 503.50

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Solution

The fourth proportional to 876.53, 1,209.57 and 503.50 is: 694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.53 : 1,209.57 = 503.50 : x
  2. Step 2: Convert to fraction form
    876.53/1,209.57 = 503.50/x
  3. Step 3: Cross multiply
    876.53x = 1,209.57 × 503.50
  4. Step 4: Simplify right side
    876.53x = 609,018.50
  5. Step 5: Solve for x
    x = 609,018.50/876.53
  6. Step 6: Final answer
    x = 694.81

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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.