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Finding the Fourth Proportional to 975.93, 1,461.73 and 701.20

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Solution

The fourth proportional to 975.93, 1,461.73 and 701.20 is: 1,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,461.73 = 701.20 : x
  2. Step 2: Convert to fraction form
    975.93/1,461.73 = 701.20/x
  3. Step 3: Cross multiply
    975.93x = 1,461.73 × 701.20
  4. Step 4: Simplify right side
    975.93x = 1,024,954.26
  5. Step 5: Solve for x
    x = 1,024,954.26/975.93
  6. Step 6: Final answer
    x = 1,050.23

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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.