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Finding the Fourth Proportional to 1,148.95, 1,723.01 and 532.54

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Solution

The fourth proportional to 1,148.95, 1,723.01 and 532.54 is: 798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.95 : 1,723.01 = 532.54 : x
  2. Step 2: Convert to fraction form
    1,148.95/1,723.01 = 532.54/x
  3. Step 3: Cross multiply
    1,148.95x = 1,723.01 × 532.54
  4. Step 4: Simplify right side
    1,148.95x = 917,568.77
  5. Step 5: Solve for x
    x = 917,568.77/1,148.95
  6. Step 6: Final answer
    x = 798.62

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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.