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Finding the Fourth Proportional to 929.96, 1,394.86 and 564.65

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Solution

The fourth proportional to 929.96, 1,394.86 and 564.65 is: 846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.96 : 1,394.86 = 564.65 : x
  2. Step 2: Convert to fraction form
    929.96/1,394.86 = 564.65/x
  3. Step 3: Cross multiply
    929.96x = 1,394.86 × 564.65
  4. Step 4: Simplify right side
    929.96x = 787,607.70
  5. Step 5: Solve for x
    x = 787,607.70/929.96
  6. Step 6: Final answer
    x = 846.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.