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Finding the Fourth Proportional to 1,232.64, 1,700.86 and 708.57

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Solution

The fourth proportional to 1,232.64, 1,700.86 and 708.57 is: 977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.64 : 1,700.86 = 708.57 : x
  2. Step 2: Convert to fraction form
    1,232.64/1,700.86 = 708.57/x
  3. Step 3: Cross multiply
    1,232.64x = 1,700.86 × 708.57
  4. Step 4: Simplify right side
    1,232.64x = 1,205,178.37
  5. Step 5: Solve for x
    x = 1,205,178.37/1,232.64
  6. Step 6: Final answer
    x = 977.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.