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Finding the Fourth Proportional to 912.37, 1,258.19 and 580.20

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Solution

The fourth proportional to 912.37, 1,258.19 and 580.20 is: 800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,258.19 = 580.20 : x
  2. Step 2: Convert to fraction form
    912.37/1,258.19 = 580.20/x
  3. Step 3: Cross multiply
    912.37x = 1,258.19 × 580.20
  4. Step 4: Simplify right side
    912.37x = 730,001.84
  5. Step 5: Solve for x
    x = 730,001.84/912.37
  6. Step 6: Final answer
    x = 800.12

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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.