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Finding the Fourth Proportional to 746.11, 1,119.54 and 307.70

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Solution

The fourth proportional to 746.11, 1,119.54 and 307.70 is: 461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.11 : 1,119.54 = 307.70 : x
  2. Step 2: Convert to fraction form
    746.11/1,119.54 = 307.70/x
  3. Step 3: Cross multiply
    746.11x = 1,119.54 × 307.70
  4. Step 4: Simplify right side
    746.11x = 344,482.46
  5. Step 5: Solve for x
    x = 344,482.46/746.11
  6. Step 6: Final answer
    x = 461.70

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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.