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Finding the Fourth Proportional to 1,088.54, 1,502.51 and 646.55

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Solution

The fourth proportional to 1,088.54, 1,502.51 and 646.55 is: 892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.54 : 1,502.51 = 646.55 : x
  2. Step 2: Convert to fraction form
    1,088.54/1,502.51 = 646.55/x
  3. Step 3: Cross multiply
    1,088.54x = 1,502.51 × 646.55
  4. Step 4: Simplify right side
    1,088.54x = 971,447.84
  5. Step 5: Solve for x
    x = 971,447.84/1,088.54
  6. Step 6: Final answer
    x = 892.43

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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.