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Finding the Fourth Proportional to 696.55, 1,044.81 and 176.57

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Solution

The fourth proportional to 696.55, 1,044.81 and 176.57 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.55 : 1,044.81 = 176.57 : x
  2. Step 2: Convert to fraction form
    696.55/1,044.81 = 176.57/x
  3. Step 3: Cross multiply
    696.55x = 1,044.81 × 176.57
  4. Step 4: Simplify right side
    696.55x = 184,482.10
  5. Step 5: Solve for x
    x = 184,482.10/696.55
  6. Step 6: Final answer
    x = 264.85

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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.