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Finding the Fourth Proportional to 1,017.28, 1,524.28 and 920.08

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Solution

The fourth proportional to 1,017.28, 1,524.28 and 920.08 is: 1,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.28 : 1,524.28 = 920.08 : x
  2. Step 2: Convert to fraction form
    1,017.28/1,524.28 = 920.08/x
  3. Step 3: Cross multiply
    1,017.28x = 1,524.28 × 920.08
  4. Step 4: Simplify right side
    1,017.28x = 1,402,459.54
  5. Step 5: Solve for x
    x = 1,402,459.54/1,017.28
  6. Step 6: Final answer
    x = 1,378.64

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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.