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Finding the Fourth Proportional to 1,088.60, 1,502.13 and 646.41

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Solution

The fourth proportional to 1,088.60, 1,502.13 and 646.41 is: 891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.60 : 1,502.13 = 646.41 : x
  2. Step 2: Convert to fraction form
    1,088.60/1,502.13 = 646.41/x
  3. Step 3: Cross multiply
    1,088.60x = 1,502.13 × 646.41
  4. Step 4: Simplify right side
    1,088.60x = 970,991.85
  5. Step 5: Solve for x
    x = 970,991.85/1,088.60
  6. Step 6: Final answer
    x = 891.96

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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.