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Finding the Fourth Proportional to 1,145.45, 1,580.62 and 648.13

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Solution

The fourth proportional to 1,145.45, 1,580.62 and 648.13 is: 894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.45 : 1,580.62 = 648.13 : x
  2. Step 2: Convert to fraction form
    1,145.45/1,580.62 = 648.13/x
  3. Step 3: Cross multiply
    1,145.45x = 1,580.62 × 648.13
  4. Step 4: Simplify right side
    1,145.45x = 1,024,447.24
  5. Step 5: Solve for x
    x = 1,024,447.24/1,145.45
  6. Step 6: Final answer
    x = 894.36

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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.