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Finding the Fourth Proportional to 707.94, 1,056.51 and 698.76

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Solution

The fourth proportional to 707.94, 1,056.51 and 698.76 is: 1,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.94 : 1,056.51 = 698.76 : x
  2. Step 2: Convert to fraction form
    707.94/1,056.51 = 698.76/x
  3. Step 3: Cross multiply
    707.94x = 1,056.51 × 698.76
  4. Step 4: Simplify right side
    707.94x = 738,246.93
  5. Step 5: Solve for x
    x = 738,246.93/707.94
  6. Step 6: Final answer
    x = 1,042.81

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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.