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Finding the Fourth Proportional to 904.83, 1,359.52 and 575.91

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Solution

The fourth proportional to 904.83, 1,359.52 and 575.91 is: 865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.83 : 1,359.52 = 575.91 : x
  2. Step 2: Convert to fraction form
    904.83/1,359.52 = 575.91/x
  3. Step 3: Cross multiply
    904.83x = 1,359.52 × 575.91
  4. Step 4: Simplify right side
    904.83x = 782,963.12
  5. Step 5: Solve for x
    x = 782,963.12/904.83
  6. Step 6: Final answer
    x = 865.31

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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.