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Finding the Fourth Proportional to 1,116.52, 1,540.76 and 619.14

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Solution

The fourth proportional to 1,116.52, 1,540.76 and 619.14 is: 854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.52 : 1,540.76 = 619.14 : x
  2. Step 2: Convert to fraction form
    1,116.52/1,540.76 = 619.14/x
  3. Step 3: Cross multiply
    1,116.52x = 1,540.76 × 619.14
  4. Step 4: Simplify right side
    1,116.52x = 953,946.15
  5. Step 5: Solve for x
    x = 953,946.15/1,116.52
  6. Step 6: Final answer
    x = 854.39

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Half scale
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Double scale
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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.