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Finding the Fourth Proportional to 1,245.47, 1,719.36 and 803.62

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Solution

The fourth proportional to 1,245.47, 1,719.36 and 803.62 is: 1,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.47 : 1,719.36 = 803.62 : x
  2. Step 2: Convert to fraction form
    1,245.47/1,719.36 = 803.62/x
  3. Step 3: Cross multiply
    1,245.47x = 1,719.36 × 803.62
  4. Step 4: Simplify right side
    1,245.47x = 1,381,712.08
  5. Step 5: Solve for x
    x = 1,381,712.08/1,245.47
  6. Step 6: Final answer
    x = 1,109.39

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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.