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Finding the Fourth Proportional to 992.52, 1,370.34 and 619.65

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Solution

The fourth proportional to 992.52, 1,370.34 and 619.65 is: 855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.52 : 1,370.34 = 619.65 : x
  2. Step 2: Convert to fraction form
    992.52/1,370.34 = 619.65/x
  3. Step 3: Cross multiply
    992.52x = 1,370.34 × 619.65
  4. Step 4: Simplify right side
    992.52x = 849,131.18
  5. Step 5: Solve for x
    x = 849,131.18/992.52
  6. Step 6: Final answer
    x = 855.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.