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Finding the Fourth Proportional to 779.91, 1,163.64 and 707.01

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Solution

The fourth proportional to 779.91, 1,163.64 and 707.01 is: 1,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.91 : 1,163.64 = 707.01 : x
  2. Step 2: Convert to fraction form
    779.91/1,163.64 = 707.01/x
  3. Step 3: Cross multiply
    779.91x = 1,163.64 × 707.01
  4. Step 4: Simplify right side
    779.91x = 822,705.12
  5. Step 5: Solve for x
    x = 822,705.12/779.91
  6. Step 6: Final answer
    x = 1,054.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.