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Finding the Fourth Proportional to 1,706.01, 2,559.42 and 732.20

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Solution

The fourth proportional to 1,706.01, 2,559.42 and 732.20 is: 1,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.01 : 2,559.42 = 732.20 : x
  2. Step 2: Convert to fraction form
    1,706.01/2,559.42 = 732.20/x
  3. Step 3: Cross multiply
    1,706.01x = 2,559.42 × 732.20
  4. Step 4: Simplify right side
    1,706.01x = 1,873,994.53
  5. Step 5: Solve for x
    x = 1,873,994.53/1,706.01
  6. Step 6: Final answer
    x = 1,098.47

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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.