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Finding the Fourth Proportional to 904.91, 1,357.34 and 724.48

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Solution

The fourth proportional to 904.91, 1,357.34 and 724.48 is: 1,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.91 : 1,357.34 = 724.48 : x
  2. Step 2: Convert to fraction form
    904.91/1,357.34 = 724.48/x
  3. Step 3: Cross multiply
    904.91x = 1,357.34 × 724.48
  4. Step 4: Simplify right side
    904.91x = 983,358.67
  5. Step 5: Solve for x
    x = 983,358.67/904.91
  6. Step 6: Final answer
    x = 1,086.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.