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Finding the Fourth Proportional to 1,234.76, 1,703.97 and 703.64

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Solution

The fourth proportional to 1,234.76, 1,703.97 and 703.64 is: 971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.76 : 1,703.97 = 703.64 : x
  2. Step 2: Convert to fraction form
    1,234.76/1,703.97 = 703.64/x
  3. Step 3: Cross multiply
    1,234.76x = 1,703.97 × 703.64
  4. Step 4: Simplify right side
    1,234.76x = 1,198,985.71
  5. Step 5: Solve for x
    x = 1,198,985.71/1,234.76
  6. Step 6: Final answer
    x = 971.03

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Half scale
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Double scale
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1.5x scale

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.