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Finding the Fourth Proportional to 1,489.61, 2,055.67 and 826.48

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Solution

The fourth proportional to 1,489.61, 2,055.67 and 826.48 is: 1,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.61 : 2,055.67 = 826.48 : x
  2. Step 2: Convert to fraction form
    1,489.61/2,055.67 = 826.48/x
  3. Step 3: Cross multiply
    1,489.61x = 2,055.67 × 826.48
  4. Step 4: Simplify right side
    1,489.61x = 1,698,970.14
  5. Step 5: Solve for x
    x = 1,698,970.14/1,489.61
  6. Step 6: Final answer
    x = 1,140.55

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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.