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Finding the Fourth Proportional to 898.92, 1,240.74 and 588.42

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Solution

The fourth proportional to 898.92, 1,240.74 and 588.42 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.92 : 1,240.74 = 588.42 : x
  2. Step 2: Convert to fraction form
    898.92/1,240.74 = 588.42/x
  3. Step 3: Cross multiply
    898.92x = 1,240.74 × 588.42
  4. Step 4: Simplify right side
    898.92x = 730,076.23
  5. Step 5: Solve for x
    x = 730,076.23/898.92
  6. Step 6: Final answer
    x = 812.17

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1.5x scale

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.