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Finding the Fourth Proportional to 1,145.59, 1,580.91 and 648.21

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Solution

The fourth proportional to 1,145.59, 1,580.91 and 648.21 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.59 : 1,580.91 = 648.21 : x
  2. Step 2: Convert to fraction form
    1,145.59/1,580.91 = 648.21/x
  3. Step 3: Cross multiply
    1,145.59x = 1,580.91 × 648.21
  4. Step 4: Simplify right side
    1,145.59x = 1,024,761.67
  5. Step 5: Solve for x
    x = 1,024,761.67/1,145.59
  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.