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Finding the Fourth Proportional to 1,482.75, 2,045.93 and 923.04

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Solution

The fourth proportional to 1,482.75, 2,045.93 and 923.04 is: 1,273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.75 : 2,045.93 = 923.04 : x
  2. Step 2: Convert to fraction form
    1,482.75/2,045.93 = 923.04/x
  3. Step 3: Cross multiply
    1,482.75x = 2,045.93 × 923.04
  4. Step 4: Simplify right side
    1,482.75x = 1,888,470.61
  5. Step 5: Solve for x
    x = 1,888,470.61/1,482.75
  6. Step 6: Final answer
    x = 1,273.63

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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.