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Finding the Fourth Proportional to 880.02, 1,214.46 and 569.52

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Solution

The fourth proportional to 880.02, 1,214.46 and 569.52 is: 785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.02 : 1,214.46 = 569.52 : x
  2. Step 2: Convert to fraction form
    880.02/1,214.46 = 569.52/x
  3. Step 3: Cross multiply
    880.02x = 1,214.46 × 569.52
  4. Step 4: Simplify right side
    880.02x = 691,659.26
  5. Step 5: Solve for x
    x = 691,659.26/880.02
  6. Step 6: Final answer
    x = 785.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.