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Finding the Fourth Proportional to 753.68, 1,040.37 and 579.53

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Solution

The fourth proportional to 753.68, 1,040.37 and 579.53 is: 799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.68 : 1,040.37 = 579.53 : x
  2. Step 2: Convert to fraction form
    753.68/1,040.37 = 579.53/x
  3. Step 3: Cross multiply
    753.68x = 1,040.37 × 579.53
  4. Step 4: Simplify right side
    753.68x = 602,925.63
  5. Step 5: Solve for x
    x = 602,925.63/753.68
  6. Step 6: Final answer
    x = 799.98

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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.