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Finding the Fourth Proportional to 1,116.76, 1,541.06 and 619.40

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Solution

The fourth proportional to 1,116.76, 1,541.06 and 619.40 is: 854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.76 : 1,541.06 = 619.40 : x
  2. Step 2: Convert to fraction form
    1,116.76/1,541.06 = 619.40/x
  3. Step 3: Cross multiply
    1,116.76x = 1,541.06 × 619.40
  4. Step 4: Simplify right side
    1,116.76x = 954,532.56
  5. Step 5: Solve for x
    x = 954,532.56/1,116.76
  6. Step 6: Final answer
    x = 854.73

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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.