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Finding the Fourth Proportional to 1,088.44, 1,501.94 and 646.45

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Solution

The fourth proportional to 1,088.44, 1,501.94 and 646.45 is: 892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.44 : 1,501.94 = 646.45 : x
  2. Step 2: Convert to fraction form
    1,088.44/1,501.94 = 646.45/x
  3. Step 3: Cross multiply
    1,088.44x = 1,501.94 × 646.45
  4. Step 4: Simplify right side
    1,088.44x = 970,926.97
  5. Step 5: Solve for x
    x = 970,926.97/1,088.44
  6. Step 6: Final answer
    x = 892.04

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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.