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Finding the Fourth Proportional to 1,145.49, 1,580.85 and 648.18

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Solution

The fourth proportional to 1,145.49, 1,580.85 and 648.18 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.49 : 1,580.85 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,145.49/1,580.85 = 648.18/x
  3. Step 3: Cross multiply
    1,145.49x = 1,580.85 × 648.18
  4. Step 4: Simplify right side
    1,145.49x = 1,024,675.35
  5. Step 5: Solve for x
    x = 1,024,675.35/1,145.49
  6. Step 6: Final answer
    x = 894.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.