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Finding the Fourth Proportional to 770.60, 1,155.72 and 283.70

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Solution

The fourth proportional to 770.60, 1,155.72 and 283.70 is: 425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.60 : 1,155.72 = 283.70 : x
  2. Step 2: Convert to fraction form
    770.60/1,155.72 = 283.70/x
  3. Step 3: Cross multiply
    770.60x = 1,155.72 × 283.70
  4. Step 4: Simplify right side
    770.60x = 327,877.76
  5. Step 5: Solve for x
    x = 327,877.76/770.60
  6. Step 6: Final answer
    x = 425.48

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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.