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Finding the Fourth Proportional to 763.88, 1,145.59 and 398.47

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Solution

The fourth proportional to 763.88, 1,145.59 and 398.47 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.88 : 1,145.59 = 398.47 : x
  2. Step 2: Convert to fraction form
    763.88/1,145.59 = 398.47/x
  3. Step 3: Cross multiply
    763.88x = 1,145.59 × 398.47
  4. Step 4: Simplify right side
    763.88x = 456,478.31
  5. Step 5: Solve for x
    x = 456,478.31/763.88
  6. Step 6: Final answer
    x = 597.58

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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.