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Finding the Fourth Proportional to 795.07, 1,186.22 and 707.36

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Solution

The fourth proportional to 795.07, 1,186.22 and 707.36 is: 1,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.07 : 1,186.22 = 707.36 : x
  2. Step 2: Convert to fraction form
    795.07/1,186.22 = 707.36/x
  3. Step 3: Cross multiply
    795.07x = 1,186.22 × 707.36
  4. Step 4: Simplify right side
    795.07x = 839,081.76
  5. Step 5: Solve for x
    x = 839,081.76/795.07
  6. Step 6: Final answer
    x = 1,055.36

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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.