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Finding the Fourth Proportional to 1,234, 1,703.13 and 709.93

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Solution

The fourth proportional to 1,234, 1,703.13 and 709.93 is: 979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234 : 1,703.13 = 709.93 : x
  2. Step 2: Convert to fraction form
    1,234/1,703.13 = 709.93/x
  3. Step 3: Cross multiply
    1,234x = 1,703.13 × 709.93
  4. Step 4: Simplify right side
    1,234x = 1,209,103.08
  5. Step 5: Solve for x
    x = 1,209,103.08/1,234
  6. Step 6: Final answer
    x = 979.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.