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Finding the Fourth Proportional to 1,154.44, 1,593.16 and 630.48

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Solution

The fourth proportional to 1,154.44, 1,593.16 and 630.48 is: 870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.44 : 1,593.16 = 630.48 : x
  2. Step 2: Convert to fraction form
    1,154.44/1,593.16 = 630.48/x
  3. Step 3: Cross multiply
    1,154.44x = 1,593.16 × 630.48
  4. Step 4: Simplify right side
    1,154.44x = 1,004,455.52
  5. Step 5: Solve for x
    x = 1,004,455.52/1,154.44
  6. Step 6: Final answer
    x = 870.08

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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.