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Finding the Fourth Proportional to 976.65, 1,464.91 and 456.50

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Solution

The fourth proportional to 976.65, 1,464.91 and 456.50 is: 684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.65 : 1,464.91 = 456.50 : x
  2. Step 2: Convert to fraction form
    976.65/1,464.91 = 456.50/x
  3. Step 3: Cross multiply
    976.65x = 1,464.91 × 456.50
  4. Step 4: Simplify right side
    976.65x = 668,731.42
  5. Step 5: Solve for x
    x = 668,731.42/976.65
  6. Step 6: Final answer
    x = 684.72

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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.