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Finding the Fourth Proportional to 1,088.61, 1,502.24 and 646.25

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Solution

The fourth proportional to 1,088.61, 1,502.24 and 646.25 is: 891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.61 : 1,502.24 = 646.25 : x
  2. Step 2: Convert to fraction form
    1,088.61/1,502.24 = 646.25/x
  3. Step 3: Cross multiply
    1,088.61x = 1,502.24 × 646.25
  4. Step 4: Simplify right side
    1,088.61x = 970,811.86
  5. Step 5: Solve for x
    x = 970,811.86/1,088.61
  6. Step 6: Final answer
    x = 891.79

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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.