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Finding the Fourth Proportional to 992.93, 1,373.75 and 975.47

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Solution

The fourth proportional to 992.93, 1,373.75 and 975.47 is: 1,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.93 : 1,373.75 = 975.47 : x
  2. Step 2: Convert to fraction form
    992.93/1,373.75 = 975.47/x
  3. Step 3: Cross multiply
    992.93x = 1,373.75 × 975.47
  4. Step 4: Simplify right side
    992.93x = 1,340,040.17
  5. Step 5: Solve for x
    x = 1,340,040.17/992.93
  6. Step 6: Final answer
    x = 1,349.59

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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.