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Finding the Fourth Proportional to 1,535.85, 2,304.59 and 920.77

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Solution

The fourth proportional to 1,535.85, 2,304.59 and 920.77 is: 1,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.85 : 2,304.59 = 920.77 : x
  2. Step 2: Convert to fraction form
    1,535.85/2,304.59 = 920.77/x
  3. Step 3: Cross multiply
    1,535.85x = 2,304.59 × 920.77
  4. Step 4: Simplify right side
    1,535.85x = 2,121,986.97
  5. Step 5: Solve for x
    x = 2,121,986.97/1,535.85
  6. Step 6: Final answer
    x = 1,381.64

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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.