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Finding the Fourth Proportional to 912.71, 1,260.07 and 581.42

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Solution

The fourth proportional to 912.71, 1,260.07 and 581.42 is: 802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.71 : 1,260.07 = 581.42 : x
  2. Step 2: Convert to fraction form
    912.71/1,260.07 = 581.42/x
  3. Step 3: Cross multiply
    912.71x = 1,260.07 × 581.42
  4. Step 4: Simplify right side
    912.71x = 732,629.90
  5. Step 5: Solve for x
    x = 732,629.90/912.71
  6. Step 6: Final answer
    x = 802.70

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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.