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Finding the Fourth Proportional to 1,298.75, 1,948.14 and 433.13

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Solution

The fourth proportional to 1,298.75, 1,948.14 and 433.13 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.75 : 1,948.14 = 433.13 : x
  2. Step 2: Convert to fraction form
    1,298.75/1,948.14 = 433.13/x
  3. Step 3: Cross multiply
    1,298.75x = 1,948.14 × 433.13
  4. Step 4: Simplify right side
    1,298.75x = 843,797.88
  5. Step 5: Solve for x
    x = 843,797.88/1,298.75
  6. Step 6: Final answer
    x = 649.70

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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.