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Finding the Fourth Proportional to 880.50, 1,214.98 and 487.47

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Solution

The fourth proportional to 880.50, 1,214.98 and 487.47 is: 672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,214.98 = 487.47 : x
  2. Step 2: Convert to fraction form
    880.50/1,214.98 = 487.47/x
  3. Step 3: Cross multiply
    880.50x = 1,214.98 × 487.47
  4. Step 4: Simplify right side
    880.50x = 592,266.30
  5. Step 5: Solve for x
    x = 592,266.30/880.50
  6. Step 6: Final answer
    x = 672.65

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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.