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Finding the Fourth Proportional to 977.65, 1,466.72 and 689.65

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Solution

The fourth proportional to 977.65, 1,466.72 and 689.65 is: 1,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.65 : 1,466.72 = 689.65 : x
  2. Step 2: Convert to fraction form
    977.65/1,466.72 = 689.65/x
  3. Step 3: Cross multiply
    977.65x = 1,466.72 × 689.65
  4. Step 4: Simplify right side
    977.65x = 1,011,523.45
  5. Step 5: Solve for x
    x = 1,011,523.45/977.65
  6. Step 6: Final answer
    x = 1,034.65

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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.