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Finding the Fourth Proportional to 1,329.01, 1,996.14 and 802.98

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Solution

The fourth proportional to 1,329.01, 1,996.14 and 802.98 is: 1,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.01 : 1,996.14 = 802.98 : x
  2. Step 2: Convert to fraction form
    1,329.01/1,996.14 = 802.98/x
  3. Step 3: Cross multiply
    1,329.01x = 1,996.14 × 802.98
  4. Step 4: Simplify right side
    1,329.01x = 1,602,863.51
  5. Step 5: Solve for x
    x = 1,602,863.51/1,329.01
  6. Step 6: Final answer
    x = 1,206.06

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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.