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Finding the Fourth Proportional to 912.53, 1,258.93 and 562.61

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Solution

The fourth proportional to 912.53, 1,258.93 and 562.61 is: 776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.53 : 1,258.93 = 562.61 : x
  2. Step 2: Convert to fraction form
    912.53/1,258.93 = 562.61/x
  3. Step 3: Cross multiply
    912.53x = 1,258.93 × 562.61
  4. Step 4: Simplify right side
    912.53x = 708,286.61
  5. Step 5: Solve for x
    x = 708,286.61/912.53
  6. Step 6: Final answer
    x = 776.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.