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Finding the Fourth Proportional to 959.65, 1,322.82 and 802.81

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Solution

The fourth proportional to 959.65, 1,322.82 and 802.81 is: 1,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.65 : 1,322.82 = 802.81 : x
  2. Step 2: Convert to fraction form
    959.65/1,322.82 = 802.81/x
  3. Step 3: Cross multiply
    959.65x = 1,322.82 × 802.81
  4. Step 4: Simplify right side
    959.65x = 1,061,973.12
  5. Step 5: Solve for x
    x = 1,061,973.12/959.65
  6. Step 6: Final answer
    x = 1,106.63

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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.