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Finding the Fourth Proportional to 809.98, 1,215.78 and 802.06

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Solution

The fourth proportional to 809.98, 1,215.78 and 802.06 is: 1,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.98 : 1,215.78 = 802.06 : x
  2. Step 2: Convert to fraction form
    809.98/1,215.78 = 802.06/x
  3. Step 3: Cross multiply
    809.98x = 1,215.78 × 802.06
  4. Step 4: Simplify right side
    809.98x = 975,128.51
  5. Step 5: Solve for x
    x = 975,128.51/809.98
  6. Step 6: Final answer
    x = 1,203.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.