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Finding the Fourth Proportional to 1,705.60, 2,559.68 and 732.40

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Solution

The fourth proportional to 1,705.60, 2,559.68 and 732.40 is: 1,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.60 : 2,559.68 = 732.40 : x
  2. Step 2: Convert to fraction form
    1,705.60/2,559.68 = 732.40/x
  3. Step 3: Cross multiply
    1,705.60x = 2,559.68 × 732.40
  4. Step 4: Simplify right side
    1,705.60x = 1,874,709.63
  5. Step 5: Solve for x
    x = 1,874,709.63/1,705.60
  6. Step 6: Final answer
    x = 1,099.15

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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.