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Finding the Fourth Proportional to 1,352.84, 1,868.67 and 999.47

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Solution

The fourth proportional to 1,352.84, 1,868.67 and 999.47 is: 1,380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.84 : 1,868.67 = 999.47 : x
  2. Step 2: Convert to fraction form
    1,352.84/1,868.67 = 999.47/x
  3. Step 3: Cross multiply
    1,352.84x = 1,868.67 × 999.47
  4. Step 4: Simplify right side
    1,352.84x = 1,867,684.28
  5. Step 5: Solve for x
    x = 1,867,684.28/1,352.84
  6. Step 6: Final answer
    x = 1,380.57

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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.