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Finding the Fourth Proportional to 802.13, 1,105.65 and 536.13

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Solution

The fourth proportional to 802.13, 1,105.65 and 536.13 is: 739.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.13 : 1,105.65 = 536.13 : x
  2. Step 2: Convert to fraction form
    802.13/1,105.65 = 536.13/x
  3. Step 3: Cross multiply
    802.13x = 1,105.65 × 536.13
  4. Step 4: Simplify right side
    802.13x = 592,772.13
  5. Step 5: Solve for x
    x = 592,772.13/802.13
  6. Step 6: Final answer
    x = 739.00

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Why These Related Problems?

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