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Finding the Fourth Proportional to 1,234.30, 1,703.32 and 710.50

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Solution

The fourth proportional to 1,234.30, 1,703.32 and 710.50 is: 980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.30 : 1,703.32 = 710.50 : x
  2. Step 2: Convert to fraction form
    1,234.30/1,703.32 = 710.50/x
  3. Step 3: Cross multiply
    1,234.30x = 1,703.32 × 710.50
  4. Step 4: Simplify right side
    1,234.30x = 1,210,208.86
  5. Step 5: Solve for x
    x = 1,210,208.86/1,234.30
  6. Step 6: Final answer
    x = 980.48

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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.