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Finding the Fourth Proportional to 1,116.84, 1,541.10 and 744.45

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Solution

The fourth proportional to 1,116.84, 1,541.10 and 744.45 is: 1,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.84 : 1,541.10 = 744.45 : x
  2. Step 2: Convert to fraction form
    1,116.84/1,541.10 = 744.45/x
  3. Step 3: Cross multiply
    1,116.84x = 1,541.10 × 744.45
  4. Step 4: Simplify right side
    1,116.84x = 1,147,271.90
  5. Step 5: Solve for x
    x = 1,147,271.90/1,116.84
  6. Step 6: Final answer
    x = 1,027.25

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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.