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Finding the Fourth Proportional to 1,130.14, 1,694.85 and 480.46

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Solution

The fourth proportional to 1,130.14, 1,694.85 and 480.46 is: 720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,694.85 = 480.46 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,694.85 = 480.46/x
  3. Step 3: Cross multiply
    1,130.14x = 1,694.85 × 480.46
  4. Step 4: Simplify right side
    1,130.14x = 814,307.63
  5. Step 5: Solve for x
    x = 814,307.63/1,130.14
  6. Step 6: Final answer
    x = 720.54

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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.