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Finding the Fourth Proportional to 1,088.28, 1,501.92 and 646.27

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Solution

The fourth proportional to 1,088.28, 1,501.92 and 646.27 is: 891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.28 : 1,501.92 = 646.27 : x
  2. Step 2: Convert to fraction form
    1,088.28/1,501.92 = 646.27/x
  3. Step 3: Cross multiply
    1,088.28x = 1,501.92 × 646.27
  4. Step 4: Simplify right side
    1,088.28x = 970,642.08
  5. Step 5: Solve for x
    x = 970,642.08/1,088.28
  6. Step 6: Final answer
    x = 891.90

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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.