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Finding the Fourth Proportional to 975.51, 1,461.92 and 454.95

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Solution

The fourth proportional to 975.51, 1,461.92 and 454.95 is: 681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.51 : 1,461.92 = 454.95 : x
  2. Step 2: Convert to fraction form
    975.51/1,461.92 = 454.95/x
  3. Step 3: Cross multiply
    975.51x = 1,461.92 × 454.95
  4. Step 4: Simplify right side
    975.51x = 665,098.23
  5. Step 5: Solve for x
    x = 665,098.23/975.51
  6. Step 6: Final answer
    x = 681.80

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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.