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Finding the Fourth Proportional to 770.04, 1,154.16 and 380.22

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Solution

The fourth proportional to 770.04, 1,154.16 and 380.22 is: 569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,154.16 = 380.22 : x
  2. Step 2: Convert to fraction form
    770.04/1,154.16 = 380.22/x
  3. Step 3: Cross multiply
    770.04x = 1,154.16 × 380.22
  4. Step 4: Simplify right side
    770.04x = 438,834.72
  5. Step 5: Solve for x
    x = 438,834.72/770.04
  6. Step 6: Final answer
    x = 569.89

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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.