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Finding the Fourth Proportional to 770.04, 1,154.81 and 307.70

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Solution

The fourth proportional to 770.04, 1,154.81 and 307.70 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.04 : 1,154.81 = 307.70 : x
  2. Step 2: Convert to fraction form
    770.04/1,154.81 = 307.70/x
  3. Step 3: Cross multiply
    770.04x = 1,154.81 × 307.70
  4. Step 4: Simplify right side
    770.04x = 355,332.63
  5. Step 5: Solve for x
    x = 355,332.63/770.04
  6. Step 6: Final answer
    x = 461.45

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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.