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Finding the Fourth Proportional to 912.04, 1,258.24 and 562.12

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Solution

The fourth proportional to 912.04, 1,258.24 and 562.12 is: 775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.04 : 1,258.24 = 562.12 : x
  2. Step 2: Convert to fraction form
    912.04/1,258.24 = 562.12/x
  3. Step 3: Cross multiply
    912.04x = 1,258.24 × 562.12
  4. Step 4: Simplify right side
    912.04x = 707,281.87
  5. Step 5: Solve for x
    x = 707,281.87/912.04
  6. Step 6: Final answer
    x = 775.49

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Why These Related Problems?

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