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Finding the Fourth Proportional to 1,047.69, 1,445.87 and 593.46

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Solution

The fourth proportional to 1,047.69, 1,445.87 and 593.46 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.69 : 1,445.87 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,047.69/1,445.87 = 593.46/x
  3. Step 3: Cross multiply
    1,047.69x = 1,445.87 × 593.46
  4. Step 4: Simplify right side
    1,047.69x = 858,064.16
  5. Step 5: Solve for x
    x = 858,064.16/1,047.69
  6. Step 6: Final answer
    x = 819.01

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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.