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Finding the Fourth Proportional to 1,298.32, 1,947.83 and 373.95

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Solution

The fourth proportional to 1,298.32, 1,947.83 and 373.95 is: 561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.32 : 1,947.83 = 373.95 : x
  2. Step 2: Convert to fraction form
    1,298.32/1,947.83 = 373.95/x
  3. Step 3: Cross multiply
    1,298.32x = 1,947.83 × 373.95
  4. Step 4: Simplify right side
    1,298.32x = 728,391.03
  5. Step 5: Solve for x
    x = 728,391.03/1,298.32
  6. Step 6: Final answer
    x = 561.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.