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Finding the Fourth Proportional to 1,150.66, 1,587.96 and 646.54

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Solution

The fourth proportional to 1,150.66, 1,587.96 and 646.54 is: 892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.66 : 1,587.96 = 646.54 : x
  2. Step 2: Convert to fraction form
    1,150.66/1,587.96 = 646.54/x
  3. Step 3: Cross multiply
    1,150.66x = 1,587.96 × 646.54
  4. Step 4: Simplify right side
    1,150.66x = 1,026,679.66
  5. Step 5: Solve for x
    x = 1,026,679.66/1,150.66
  6. Step 6: Final answer
    x = 892.25

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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.