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Finding the Fourth Proportional to 963.40, 1,445.14 and 802.22

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Solution

The fourth proportional to 963.40, 1,445.14 and 802.22 is: 1,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.40 : 1,445.14 = 802.22 : x
  2. Step 2: Convert to fraction form
    963.40/1,445.14 = 802.22/x
  3. Step 3: Cross multiply
    963.40x = 1,445.14 × 802.22
  4. Step 4: Simplify right side
    963.40x = 1,159,320.21
  5. Step 5: Solve for x
    x = 1,159,320.21/963.40
  6. Step 6: Final answer
    x = 1,203.36

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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.