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Finding the Fourth Proportional to 1,245.92, 1,719.53 and 805.10

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Solution

The fourth proportional to 1,245.92, 1,719.53 and 805.10 is: 1,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.92 : 1,719.53 = 805.10 : x
  2. Step 2: Convert to fraction form
    1,245.92/1,719.53 = 805.10/x
  3. Step 3: Cross multiply
    1,245.92x = 1,719.53 × 805.10
  4. Step 4: Simplify right side
    1,245.92x = 1,384,393.60
  5. Step 5: Solve for x
    x = 1,384,393.60/1,245.92
  6. Step 6: Final answer
    x = 1,111.14

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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.