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Finding the Fourth Proportional to 1,479.92, 2,042.46 and 920.93

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Solution

The fourth proportional to 1,479.92, 2,042.46 and 920.93 is: 1,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.92 : 2,042.46 = 920.93 : x
  2. Step 2: Convert to fraction form
    1,479.92/2,042.46 = 920.93/x
  3. Step 3: Cross multiply
    1,479.92x = 2,042.46 × 920.93
  4. Step 4: Simplify right side
    1,479.92x = 1,880,952.48
  5. Step 5: Solve for x
    x = 1,880,952.48/1,479.92
  6. Step 6: Final answer
    x = 1,270.99

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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.