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Finding the Fourth Proportional to 1,234.08, 1,703.07 and 710.10

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Solution

The fourth proportional to 1,234.08, 1,703.07 and 710.10 is: 979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.08 : 1,703.07 = 710.10 : x
  2. Step 2: Convert to fraction form
    1,234.08/1,703.07 = 710.10/x
  3. Step 3: Cross multiply
    1,234.08x = 1,703.07 × 710.10
  4. Step 4: Simplify right side
    1,234.08x = 1,209,350.01
  5. Step 5: Solve for x
    x = 1,209,350.01/1,234.08
  6. Step 6: Final answer
    x = 979.96

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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.