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Finding the Fourth Proportional to 708.45, 1,064.71 and 657.52

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Solution

The fourth proportional to 708.45, 1,064.71 and 657.52 is: 988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.45 : 1,064.71 = 657.52 : x
  2. Step 2: Convert to fraction form
    708.45/1,064.71 = 657.52/x
  3. Step 3: Cross multiply
    708.45x = 1,064.71 × 657.52
  4. Step 4: Simplify right side
    708.45x = 700,066.28
  5. Step 5: Solve for x
    x = 700,066.28/708.45
  6. Step 6: Final answer
    x = 988.17

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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.