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Finding the Fourth Proportional to 975.93, 1,462.37 and 609.61

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Solution

The fourth proportional to 975.93, 1,462.37 and 609.61 is: 913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,462.37 = 609.61 : x
  2. Step 2: Convert to fraction form
    975.93/1,462.37 = 609.61/x
  3. Step 3: Cross multiply
    975.93x = 1,462.37 × 609.61
  4. Step 4: Simplify right side
    975.93x = 891,475.38
  5. Step 5: Solve for x
    x = 891,475.38/975.93
  6. Step 6: Final answer
    x = 913.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.