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Finding the Fourth Proportional to 876.21, 1,209.06 and 503.14

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Solution

The fourth proportional to 876.21, 1,209.06 and 503.14 is: 694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.21 : 1,209.06 = 503.14 : x
  2. Step 2: Convert to fraction form
    876.21/1,209.06 = 503.14/x
  3. Step 3: Cross multiply
    876.21x = 1,209.06 × 503.14
  4. Step 4: Simplify right side
    876.21x = 608,326.45
  5. Step 5: Solve for x
    x = 608,326.45/876.21
  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.