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Finding the Fourth Proportional to 1,254.80, 1,732.32 and 835.72

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Solution

The fourth proportional to 1,254.80, 1,732.32 and 835.72 is: 1,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.80 : 1,732.32 = 835.72 : x
  2. Step 2: Convert to fraction form
    1,254.80/1,732.32 = 835.72/x
  3. Step 3: Cross multiply
    1,254.80x = 1,732.32 × 835.72
  4. Step 4: Simplify right side
    1,254.80x = 1,447,734.47
  5. Step 5: Solve for x
    x = 1,447,734.47/1,254.80
  6. Step 6: Final answer
    x = 1,153.76

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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.