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Finding the Fourth Proportional to 1,256.61, 1,734.11 and 697.10

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Solution

The fourth proportional to 1,256.61, 1,734.11 and 697.10 is: 961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.61 : 1,734.11 = 697.10 : x
  2. Step 2: Convert to fraction form
    1,256.61/1,734.11 = 697.10/x
  3. Step 3: Cross multiply
    1,256.61x = 1,734.11 × 697.10
  4. Step 4: Simplify right side
    1,256.61x = 1,208,848.93
  5. Step 5: Solve for x
    x = 1,208,848.93/1,256.61
  6. Step 6: Final answer
    x = 961.99

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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.