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Finding the Fourth Proportional to 1,000.67, 1,380.93 and 607.61

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Solution

The fourth proportional to 1,000.67, 1,380.93 and 607.61 is: 838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.67 : 1,380.93 = 607.61 : x
  2. Step 2: Convert to fraction form
    1,000.67/1,380.93 = 607.61/x
  3. Step 3: Cross multiply
    1,000.67x = 1,380.93 × 607.61
  4. Step 4: Simplify right side
    1,000.67x = 839,066.88
  5. Step 5: Solve for x
    x = 839,066.88/1,000.67
  6. Step 6: Final answer
    x = 838.51

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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.