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Finding the Fourth Proportional to 1,061.83, 1,590.27 and 816.40

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Solution

The fourth proportional to 1,061.83, 1,590.27 and 816.40 is: 1,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.83 : 1,590.27 = 816.40 : x
  2. Step 2: Convert to fraction form
    1,061.83/1,590.27 = 816.40/x
  3. Step 3: Cross multiply
    1,061.83x = 1,590.27 × 816.40
  4. Step 4: Simplify right side
    1,061.83x = 1,298,296.43
  5. Step 5: Solve for x
    x = 1,298,296.43/1,061.83
  6. Step 6: Final answer
    x = 1,222.70

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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.