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Finding the Fourth Proportional to 876.13, 1,208.98 and 503.13

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Solution

The fourth proportional to 876.13, 1,208.98 and 503.13 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.13 : 1,208.98 = 503.13 : x
  2. Step 2: Convert to fraction form
    876.13/1,208.98 = 503.13/x
  3. Step 3: Cross multiply
    876.13x = 1,208.98 × 503.13
  4. Step 4: Simplify right side
    876.13x = 608,269.64
  5. Step 5: Solve for x
    x = 608,269.64/876.13
  6. Step 6: Final answer
    x = 694.27

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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.