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Finding the Fourth Proportional to 1,061.21, 1,590.67 and 402.78

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Solution

The fourth proportional to 1,061.21, 1,590.67 and 402.78 is: 603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.21 : 1,590.67 = 402.78 : x
  2. Step 2: Convert to fraction form
    1,061.21/1,590.67 = 402.78/x
  3. Step 3: Cross multiply
    1,061.21x = 1,590.67 × 402.78
  4. Step 4: Simplify right side
    1,061.21x = 640,690.06
  5. Step 5: Solve for x
    x = 640,690.06/1,061.21
  6. Step 6: Final answer
    x = 603.74

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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.