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Finding the Fourth Proportional to 1,148.36, 1,723.25 and 531.95

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Solution

The fourth proportional to 1,148.36, 1,723.25 and 531.95 is: 798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.36 : 1,723.25 = 531.95 : x
  2. Step 2: Convert to fraction form
    1,148.36/1,723.25 = 531.95/x
  3. Step 3: Cross multiply
    1,148.36x = 1,723.25 × 531.95
  4. Step 4: Simplify right side
    1,148.36x = 916,688.48
  5. Step 5: Solve for x
    x = 916,688.48/1,148.36
  6. Step 6: Final answer
    x = 798.26

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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.