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Finding the Fourth Proportional to 1,224.83, 1,835.59 and 565.26

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Solution

The fourth proportional to 1,224.83, 1,835.59 and 565.26 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.83 : 1,835.59 = 565.26 : x
  2. Step 2: Convert to fraction form
    1,224.83/1,835.59 = 565.26/x
  3. Step 3: Cross multiply
    1,224.83x = 1,835.59 × 565.26
  4. Step 4: Simplify right side
    1,224.83x = 1,037,585.60
  5. Step 5: Solve for x
    x = 1,037,585.60/1,224.83
  6. Step 6: Final answer
    x = 847.13

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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.