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Finding the Fourth Proportional to 1,448.65, 2,000.46 and 925.60

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Solution

The fourth proportional to 1,448.65, 2,000.46 and 925.60 is: 1,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.65 : 2,000.46 = 925.60 : x
  2. Step 2: Convert to fraction form
    1,448.65/2,000.46 = 925.60/x
  3. Step 3: Cross multiply
    1,448.65x = 2,000.46 × 925.60
  4. Step 4: Simplify right side
    1,448.65x = 1,851,625.78
  5. Step 5: Solve for x
    x = 1,851,625.78/1,448.65
  6. Step 6: Final answer
    x = 1,278.17

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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.