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Finding the Fourth Proportional to 1,118.60, 1,677.90 and 830.60

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Solution

The fourth proportional to 1,118.60, 1,677.90 and 830.60 is: 1,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.60 : 1,677.90 = 830.60 : x
  2. Step 2: Convert to fraction form
    1,118.60/1,677.90 = 830.60/x
  3. Step 3: Cross multiply
    1,118.60x = 1,677.90 × 830.60
  4. Step 4: Simplify right side
    1,118.60x = 1,393,663.74
  5. Step 5: Solve for x
    x = 1,393,663.74/1,118.60
  6. Step 6: Final answer
    x = 1,245.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.