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Finding the Fourth Proportional to 1,402.65, 2,102.94 and 708.99

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Solution

The fourth proportional to 1,402.65, 2,102.94 and 708.99 is: 1,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.65 : 2,102.94 = 708.99 : x
  2. Step 2: Convert to fraction form
    1,402.65/2,102.94 = 708.99/x
  3. Step 3: Cross multiply
    1,402.65x = 2,102.94 × 708.99
  4. Step 4: Simplify right side
    1,402.65x = 1,490,963.43
  5. Step 5: Solve for x
    x = 1,490,963.43/1,402.65
  6. Step 6: Final answer
    x = 1,062.96

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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.