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Finding the Fourth Proportional to 678.45, 1,011.95 and 657.95

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Solution

The fourth proportional to 678.45, 1,011.95 and 657.95 is: 981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.45 : 1,011.95 = 657.95 : x
  2. Step 2: Convert to fraction form
    678.45/1,011.95 = 657.95/x
  3. Step 3: Cross multiply
    678.45x = 1,011.95 × 657.95
  4. Step 4: Simplify right side
    678.45x = 665,812.50
  5. Step 5: Solve for x
    x = 665,812.50/678.45
  6. Step 6: Final answer
    x = 981.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.