Home / 1,502.10-2,252.61-771.57

Finding the Fourth Proportional to 1,502.10, 2,252.61 and 771.57

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Solution

The fourth proportional to 1,502.10, 2,252.61 and 771.57 is: 1,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.10 : 2,252.61 = 771.57 : x
  2. Step 2: Convert to fraction form
    1,502.10/2,252.61 = 771.57/x
  3. Step 3: Cross multiply
    1,502.10x = 2,252.61 × 771.57
  4. Step 4: Simplify right side
    1,502.10x = 1,738,046.30
  5. Step 5: Solve for x
    x = 1,738,046.30/1,502.10
  6. Step 6: Final answer
    x = 1,157.08

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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.