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Finding the Fourth Proportional to 1,148.72, 1,723.75 and 600.89

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Solution

The fourth proportional to 1,148.72, 1,723.75 and 600.89 is: 901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.72 : 1,723.75 = 600.89 : x
  2. Step 2: Convert to fraction form
    1,148.72/1,723.75 = 600.89/x
  3. Step 3: Cross multiply
    1,148.72x = 1,723.75 × 600.89
  4. Step 4: Simplify right side
    1,148.72x = 1,035,774.02
  5. Step 5: Solve for x
    x = 1,035,774.02/1,148.72
  6. Step 6: Final answer
    x = 901.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.