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Finding the Fourth Proportional to 1,201.69, 1,655.99 and 802.90

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Solution

The fourth proportional to 1,201.69, 1,655.99 and 802.90 is: 1,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.69 : 1,655.99 = 802.90 : x
  2. Step 2: Convert to fraction form
    1,201.69/1,655.99 = 802.90/x
  3. Step 3: Cross multiply
    1,201.69x = 1,655.99 × 802.90
  4. Step 4: Simplify right side
    1,201.69x = 1,329,588.10
  5. Step 5: Solve for x
    x = 1,329,588.10/1,201.69
  6. Step 6: Final answer
    x = 1,106.44

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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.