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Finding the Fourth Proportional to 770.19, 1,155.36 and 283.13

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Solution

The fourth proportional to 770.19, 1,155.36 and 283.13 is: 424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.19 : 1,155.36 = 283.13 : x
  2. Step 2: Convert to fraction form
    770.19/1,155.36 = 283.13/x
  3. Step 3: Cross multiply
    770.19x = 1,155.36 × 283.13
  4. Step 4: Simplify right side
    770.19x = 327,116.69
  5. Step 5: Solve for x
    x = 327,116.69/770.19
  6. Step 6: Final answer
    x = 424.72

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