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Finding the Fourth Proportional to 1,319.59, 1,979.23 and 332.40

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Solution

The fourth proportional to 1,319.59, 1,979.23 and 332.40 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.59 : 1,979.23 = 332.40 : x
  2. Step 2: Convert to fraction form
    1,319.59/1,979.23 = 332.40/x
  3. Step 3: Cross multiply
    1,319.59x = 1,979.23 × 332.40
  4. Step 4: Simplify right side
    1,319.59x = 657,900.26
  5. Step 5: Solve for x
    x = 657,900.26/1,319.59
  6. Step 6: Final answer
    x = 498.57

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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.