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Finding the Fourth Proportional to 1,116.07, 1,539.94 and 673.88

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Solution

The fourth proportional to 1,116.07, 1,539.94 and 673.88 is: 929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.07 : 1,539.94 = 673.88 : x
  2. Step 2: Convert to fraction form
    1,116.07/1,539.94 = 673.88/x
  3. Step 3: Cross multiply
    1,116.07x = 1,539.94 × 673.88
  4. Step 4: Simplify right side
    1,116.07x = 1,037,735.58
  5. Step 5: Solve for x
    x = 1,037,735.58/1,116.07
  6. Step 6: Final answer
    x = 929.82

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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.