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Finding the Fourth Proportional to 925.48, 1,276.99 and 802.09

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Solution

The fourth proportional to 925.48, 1,276.99 and 802.09 is: 1,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.48 : 1,276.99 = 802.09 : x
  2. Step 2: Convert to fraction form
    925.48/1,276.99 = 802.09/x
  3. Step 3: Cross multiply
    925.48x = 1,276.99 × 802.09
  4. Step 4: Simplify right side
    925.48x = 1,024,260.91
  5. Step 5: Solve for x
    x = 1,024,260.91/925.48
  6. Step 6: Final answer
    x = 1,106.73

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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.