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Finding the Fourth Proportional to 1,145.38, 1,580.68 and 648.11

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Solution

The fourth proportional to 1,145.38, 1,580.68 and 648.11 is: 894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.38 : 1,580.68 = 648.11 : x
  2. Step 2: Convert to fraction form
    1,145.38/1,580.68 = 648.11/x
  3. Step 3: Cross multiply
    1,145.38x = 1,580.68 × 648.11
  4. Step 4: Simplify right side
    1,145.38x = 1,024,454.51
  5. Step 5: Solve for x
    x = 1,024,454.51/1,145.38
  6. Step 6: Final answer
    x = 894.42

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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.