Home / 1,267.16-1,748.69-707.66

Finding the Fourth Proportional to 1,267.16, 1,748.69 and 707.66

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Solution

The fourth proportional to 1,267.16, 1,748.69 and 707.66 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.16 : 1,748.69 = 707.66 : x
  2. Step 2: Convert to fraction form
    1,267.16/1,748.69 = 707.66/x
  3. Step 3: Cross multiply
    1,267.16x = 1,748.69 × 707.66
  4. Step 4: Simplify right side
    1,267.16x = 1,237,465.68
  5. Step 5: Solve for x
    x = 1,237,465.68/1,267.16
  6. Step 6: Final answer
    x = 976.57

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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.