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Finding the Fourth Proportional to 876.69, 1,209.83 and 503.64

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Solution

The fourth proportional to 876.69, 1,209.83 and 503.64 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.69 : 1,209.83 = 503.64 : x
  2. Step 2: Convert to fraction form
    876.69/1,209.83 = 503.64/x
  3. Step 3: Cross multiply
    876.69x = 1,209.83 × 503.64
  4. Step 4: Simplify right side
    876.69x = 609,316.26
  5. Step 5: Solve for x
    x = 609,316.26/876.69
  6. Step 6: Final answer
    x = 695.02

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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.