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Finding the Fourth Proportional to 1,267.15, 1,748.70 and 707.65

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Solution

The fourth proportional to 1,267.15, 1,748.70 and 707.65 is: 976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.15 : 1,748.70 = 707.65 : x
  2. Step 2: Convert to fraction form
    1,267.15/1,748.70 = 707.65/x
  3. Step 3: Cross multiply
    1,267.15x = 1,748.70 × 707.65
  4. Step 4: Simplify right side
    1,267.15x = 1,237,467.56
  5. Step 5: Solve for x
    x = 1,237,467.56/1,267.15
  6. Step 6: Final answer
    x = 976.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.