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Finding the Fourth Proportional to 802.01, 1,107.13 and 536.87

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Solution

The fourth proportional to 802.01, 1,107.13 and 536.87 is: 741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.01 : 1,107.13 = 536.87 : x
  2. Step 2: Convert to fraction form
    802.01/1,107.13 = 536.87/x
  3. Step 3: Cross multiply
    802.01x = 1,107.13 × 536.87
  4. Step 4: Simplify right side
    802.01x = 594,384.88
  5. Step 5: Solve for x
    x = 594,384.88/802.01
  6. Step 6: Final answer
    x = 741.12

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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.