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Finding the Fourth Proportional to 1,330.31, 1,835.64 and 740.76

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Solution

The fourth proportional to 1,330.31, 1,835.64 and 740.76 is: 1,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.31 : 1,835.64 = 740.76 : x
  2. Step 2: Convert to fraction form
    1,330.31/1,835.64 = 740.76/x
  3. Step 3: Cross multiply
    1,330.31x = 1,835.64 × 740.76
  4. Step 4: Simplify right side
    1,330.31x = 1,359,768.69
  5. Step 5: Solve for x
    x = 1,359,768.69/1,330.31
  6. Step 6: Final answer
    x = 1,022.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.