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Finding the Fourth Proportional to 718.32, 1,074.75 and 425.98

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Solution

The fourth proportional to 718.32, 1,074.75 and 425.98 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.32 : 1,074.75 = 425.98 : x
  2. Step 2: Convert to fraction form
    718.32/1,074.75 = 425.98/x
  3. Step 3: Cross multiply
    718.32x = 1,074.75 × 425.98
  4. Step 4: Simplify right side
    718.32x = 457,822.01
  5. Step 5: Solve for x
    x = 457,822.01/718.32
  6. Step 6: Final answer
    x = 637.35

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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.