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Finding the Fourth Proportional to 964.16, 1,451.50 and 657.95

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Solution

The fourth proportional to 964.16, 1,451.50 and 657.95 is: 990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,451.50 = 657.95 : x
  2. Step 2: Convert to fraction form
    964.16/1,451.50 = 657.95/x
  3. Step 3: Cross multiply
    964.16x = 1,451.50 × 657.95
  4. Step 4: Simplify right side
    964.16x = 955,017.39
  5. Step 5: Solve for x
    x = 955,017.39/964.16
  6. Step 6: Final answer
    x = 990.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.