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Finding the Fourth Proportional to 975.90, 1,461.95 and 866.82

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Solution

The fourth proportional to 975.90, 1,461.95 and 866.82 is: 1,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.90 : 1,461.95 = 866.82 : x
  2. Step 2: Convert to fraction form
    975.90/1,461.95 = 866.82/x
  3. Step 3: Cross multiply
    975.90x = 1,461.95 × 866.82
  4. Step 4: Simplify right side
    975.90x = 1,267,243.16
  5. Step 5: Solve for x
    x = 1,267,243.16/975.90
  6. Step 6: Final answer
    x = 1,298.54

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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.