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Finding the Fourth Proportional to 992.93, 1,368.59 and 697.68

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Solution

The fourth proportional to 992.93, 1,368.59 and 697.68 is: 961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,368.59 = 697.68 : x
  2. Step 2: Convert to fraction form
    992.93/1,368.59 = 697.68/x
  3. Step 3: Cross multiply
    992.93x = 1,368.59 × 697.68
  4. Step 4: Simplify right side
    992.93x = 954,834.38
  5. Step 5: Solve for x
    x = 954,834.38/992.93
  6. Step 6: Final answer
    x = 961.64

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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.