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Finding the Fourth Proportional to 1,154.97, 1,733.30 and 578.25

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Solution

The fourth proportional to 1,154.97, 1,733.30 and 578.25 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.97 : 1,733.30 = 578.25 : x
  2. Step 2: Convert to fraction form
    1,154.97/1,733.30 = 578.25/x
  3. Step 3: Cross multiply
    1,154.97x = 1,733.30 × 578.25
  4. Step 4: Simplify right side
    1,154.97x = 1,002,277.83
  5. Step 5: Solve for x
    x = 1,002,277.83/1,154.97
  6. Step 6: Final answer
    x = 867.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.