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Finding the Fourth Proportional to 1,184.50, 1,776.75 and 802.18

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Solution

The fourth proportional to 1,184.50, 1,776.75 and 802.18 is: 1,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.50 : 1,776.75 = 802.18 : x
  2. Step 2: Convert to fraction form
    1,184.50/1,776.75 = 802.18/x
  3. Step 3: Cross multiply
    1,184.50x = 1,776.75 × 802.18
  4. Step 4: Simplify right side
    1,184.50x = 1,425,273.32
  5. Step 5: Solve for x
    x = 1,425,273.32/1,184.50
  6. Step 6: Final answer
    x = 1,203.27

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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.