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Finding the Fourth Proportional to 1,117.75, 1,541.44 and 744.09

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Solution

The fourth proportional to 1,117.75, 1,541.44 and 744.09 is: 1,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.75 : 1,541.44 = 744.09 : x
  2. Step 2: Convert to fraction form
    1,117.75/1,541.44 = 744.09/x
  3. Step 3: Cross multiply
    1,117.75x = 1,541.44 × 744.09
  4. Step 4: Simplify right side
    1,117.75x = 1,146,970.09
  5. Step 5: Solve for x
    x = 1,146,970.09/1,117.75
  6. Step 6: Final answer
    x = 1,026.14

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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.