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Finding the Fourth Proportional to 802.37, 1,105.51 and 539.93

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Solution

The fourth proportional to 802.37, 1,105.51 and 539.93 is: 743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.37 : 1,105.51 = 539.93 : x
  2. Step 2: Convert to fraction form
    802.37/1,105.51 = 539.93/x
  3. Step 3: Cross multiply
    802.37x = 1,105.51 × 539.93
  4. Step 4: Simplify right side
    802.37x = 596,898.01
  5. Step 5: Solve for x
    x = 596,898.01/802.37
  6. Step 6: Final answer
    x = 743.92

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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.