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Finding the Fourth Proportional to 1,288.46, 1,931.13 and 594.18

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Solution

The fourth proportional to 1,288.46, 1,931.13 and 594.18 is: 890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.46 : 1,931.13 = 594.18 : x
  2. Step 2: Convert to fraction form
    1,288.46/1,931.13 = 594.18/x
  3. Step 3: Cross multiply
    1,288.46x = 1,931.13 × 594.18
  4. Step 4: Simplify right side
    1,288.46x = 1,147,438.82
  5. Step 5: Solve for x
    x = 1,147,438.82/1,288.46
  6. Step 6: Final answer
    x = 890.55

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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.