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Finding the Fourth Proportional to 763.74, 1,145.63 and 398.30

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Solution

The fourth proportional to 763.74, 1,145.63 and 398.30 is: 597.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.74 : 1,145.63 = 398.30 : x
  2. Step 2: Convert to fraction form
    763.74/1,145.63 = 398.30/x
  3. Step 3: Cross multiply
    763.74x = 1,145.63 × 398.30
  4. Step 4: Simplify right side
    763.74x = 456,304.43
  5. Step 5: Solve for x
    x = 456,304.43/763.74
  6. Step 6: Final answer
    x = 597.46

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1.5x scale

Why These Related Problems?

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