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Finding the Fourth Proportional to 1,144.97, 1,580.04 and 647.59

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Solution

The fourth proportional to 1,144.97, 1,580.04 and 647.59 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.97 : 1,580.04 = 647.59 : x
  2. Step 2: Convert to fraction form
    1,144.97/1,580.04 = 647.59/x
  3. Step 3: Cross multiply
    1,144.97x = 1,580.04 × 647.59
  4. Step 4: Simplify right side
    1,144.97x = 1,023,214.15
  5. Step 5: Solve for x
    x = 1,023,214.15/1,144.97
  6. Step 6: Final answer
    x = 893.66

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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.