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Finding the Fourth Proportional to 1,298.91, 1,948.38 and 477.37

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Solution

The fourth proportional to 1,298.91, 1,948.38 and 477.37 is: 716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.91 : 1,948.38 = 477.37 : x
  2. Step 2: Convert to fraction form
    1,298.91/1,948.38 = 477.37/x
  3. Step 3: Cross multiply
    1,298.91x = 1,948.38 × 477.37
  4. Step 4: Simplify right side
    1,298.91x = 930,098.16
  5. Step 5: Solve for x
    x = 930,098.16/1,298.91
  6. Step 6: Final answer
    x = 716.06

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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.