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Finding the Fourth Proportional to 1,165.65, 1,748.67 and 678.57

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Solution

The fourth proportional to 1,165.65, 1,748.67 and 678.57 is: 1,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.65 : 1,748.67 = 678.57 : x
  2. Step 2: Convert to fraction form
    1,165.65/1,748.67 = 678.57/x
  3. Step 3: Cross multiply
    1,165.65x = 1,748.67 × 678.57
  4. Step 4: Simplify right side
    1,165.65x = 1,186,595.00
  5. Step 5: Solve for x
    x = 1,186,595.00/1,165.65
  6. Step 6: Final answer
    x = 1,017.97

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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.