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Finding the Fourth Proportional to 982.32, 1,466.70 and 975.12

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Solution

The fourth proportional to 982.32, 1,466.70 and 975.12 is: 1,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,466.70 = 975.12 : x
  2. Step 2: Convert to fraction form
    982.32/1,466.70 = 975.12/x
  3. Step 3: Cross multiply
    982.32x = 1,466.70 × 975.12
  4. Step 4: Simplify right side
    982.32x = 1,430,208.50
  5. Step 5: Solve for x
    x = 1,430,208.50/982.32
  6. Step 6: Final answer
    x = 1,455.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.