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Finding the Fourth Proportional to 880.27, 1,214.39 and 585.63

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Solution

The fourth proportional to 880.27, 1,214.39 and 585.63 is: 807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.27 : 1,214.39 = 585.63 : x
  2. Step 2: Convert to fraction form
    880.27/1,214.39 = 585.63/x
  3. Step 3: Cross multiply
    880.27x = 1,214.39 × 585.63
  4. Step 4: Simplify right side
    880.27x = 711,184.68
  5. Step 5: Solve for x
    x = 711,184.68/880.27
  6. Step 6: Final answer
    x = 807.92

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Double scale
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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.