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Finding the Fourth Proportional to 979.29, 1,468.63 and 431.93

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Solution

The fourth proportional to 979.29, 1,468.63 and 431.93 is: 647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.29 : 1,468.63 = 431.93 : x
  2. Step 2: Convert to fraction form
    979.29/1,468.63 = 431.93/x
  3. Step 3: Cross multiply
    979.29x = 1,468.63 × 431.93
  4. Step 4: Simplify right side
    979.29x = 634,349.57
  5. Step 5: Solve for x
    x = 634,349.57/979.29
  6. Step 6: Final answer
    x = 647.76

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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.