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Finding the Fourth Proportional to 1,022.65, 1,410.89 and 707.79

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Solution

The fourth proportional to 1,022.65, 1,410.89 and 707.79 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.65 : 1,410.89 = 707.79 : x
  2. Step 2: Convert to fraction form
    1,022.65/1,410.89 = 707.79/x
  3. Step 3: Cross multiply
    1,022.65x = 1,410.89 × 707.79
  4. Step 4: Simplify right side
    1,022.65x = 998,613.83
  5. Step 5: Solve for x
    x = 998,613.83/1,022.65
  6. Step 6: Final answer
    x = 976.50

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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.