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Finding the Fourth Proportional to 1,234.61, 1,701.90 and 1,047.90

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Solution

The fourth proportional to 1,234.61, 1,701.90 and 1,047.90 is: 1,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.61 : 1,701.90 = 1,047.90 : x
  2. Step 2: Convert to fraction form
    1,234.61/1,701.90 = 1,047.90/x
  3. Step 3: Cross multiply
    1,234.61x = 1,701.90 × 1,047.90
  4. Step 4: Simplify right side
    1,234.61x = 1,783,421.01
  5. Step 5: Solve for x
    x = 1,783,421.01/1,234.61
  6. Step 6: Final answer
    x = 1,444.52

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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.