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Finding the Fourth Proportional to 1,210.75, 1,671.82 and 973.95

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Solution

The fourth proportional to 1,210.75, 1,671.82 and 973.95 is: 1,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.75 : 1,671.82 = 973.95 : x
  2. Step 2: Convert to fraction form
    1,210.75/1,671.82 = 973.95/x
  3. Step 3: Cross multiply
    1,210.75x = 1,671.82 × 973.95
  4. Step 4: Simplify right side
    1,210.75x = 1,628,269.09
  5. Step 5: Solve for x
    x = 1,628,269.09/1,210.75
  6. Step 6: Final answer
    x = 1,344.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.