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Finding the Fourth Proportional to 1,486.95, 2,230.42 and 836.31

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Solution

The fourth proportional to 1,486.95, 2,230.42 and 836.31 is: 1,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.95 : 2,230.42 = 836.31 : x
  2. Step 2: Convert to fraction form
    1,486.95/2,230.42 = 836.31/x
  3. Step 3: Cross multiply
    1,486.95x = 2,230.42 × 836.31
  4. Step 4: Simplify right side
    1,486.95x = 1,865,322.55
  5. Step 5: Solve for x
    x = 1,865,322.55/1,486.95
  6. Step 6: Final answer
    x = 1,254.46

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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.