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Finding the Fourth Proportional to 1,242.42, 1,860.90 and 829.62

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Solution

The fourth proportional to 1,242.42, 1,860.90 and 829.62 is: 1,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.42 : 1,860.90 = 829.62 : x
  2. Step 2: Convert to fraction form
    1,242.42/1,860.90 = 829.62/x
  3. Step 3: Cross multiply
    1,242.42x = 1,860.90 × 829.62
  4. Step 4: Simplify right side
    1,242.42x = 1,543,839.86
  5. Step 5: Solve for x
    x = 1,543,839.86/1,242.42
  6. Step 6: Final answer
    x = 1,242.61

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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.