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Finding the Fourth Proportional to 910.65, 1,367.10 and 705.36

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Solution

The fourth proportional to 910.65, 1,367.10 and 705.36 is: 1,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.65 : 1,367.10 = 705.36 : x
  2. Step 2: Convert to fraction form
    910.65/1,367.10 = 705.36/x
  3. Step 3: Cross multiply
    910.65x = 1,367.10 × 705.36
  4. Step 4: Simplify right side
    910.65x = 964,297.66
  5. Step 5: Solve for x
    x = 964,297.66/910.65
  6. Step 6: Final answer
    x = 1,058.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.