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Finding the Fourth Proportional to 880.39, 1,214.91 and 487.41

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Solution

The fourth proportional to 880.39, 1,214.91 and 487.41 is: 672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.39 : 1,214.91 = 487.41 : x
  2. Step 2: Convert to fraction form
    880.39/1,214.91 = 487.41/x
  3. Step 3: Cross multiply
    880.39x = 1,214.91 × 487.41
  4. Step 4: Simplify right side
    880.39x = 592,159.28
  5. Step 5: Solve for x
    x = 592,159.28/880.39
  6. Step 6: Final answer
    x = 672.61

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1.5x scale

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.