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Finding the Fourth Proportional to 1,543.60, 2,314.32 and 720.76

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Solution

The fourth proportional to 1,543.60, 2,314.32 and 720.76 is: 1,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.60 : 2,314.32 = 720.76 : x
  2. Step 2: Convert to fraction form
    1,543.60/2,314.32 = 720.76/x
  3. Step 3: Cross multiply
    1,543.60x = 2,314.32 × 720.76
  4. Step 4: Simplify right side
    1,543.60x = 1,668,069.28
  5. Step 5: Solve for x
    x = 1,668,069.28/1,543.60
  6. Step 6: Final answer
    x = 1,080.64

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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.