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Finding the Fourth Proportional to 1,454.68, 2,007.26 and 865.08

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Solution

The fourth proportional to 1,454.68, 2,007.26 and 865.08 is: 1,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.68 : 2,007.26 = 865.08 : x
  2. Step 2: Convert to fraction form
    1,454.68/2,007.26 = 865.08/x
  3. Step 3: Cross multiply
    1,454.68x = 2,007.26 × 865.08
  4. Step 4: Simplify right side
    1,454.68x = 1,736,440.48
  5. Step 5: Solve for x
    x = 1,736,440.48/1,454.68
  6. Step 6: Final answer
    x = 1,193.69

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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.