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Finding the Fourth Proportional to 1,352.89, 1,865.66 and 821.85

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Solution

The fourth proportional to 1,352.89, 1,865.66 and 821.85 is: 1,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.89 : 1,865.66 = 821.85 : x
  2. Step 2: Convert to fraction form
    1,352.89/1,865.66 = 821.85/x
  3. Step 3: Cross multiply
    1,352.89x = 1,865.66 × 821.85
  4. Step 4: Simplify right side
    1,352.89x = 1,533,292.67
  5. Step 5: Solve for x
    x = 1,533,292.67/1,352.89
  6. Step 6: Final answer
    x = 1,133.35

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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.