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Finding the Fourth Proportional to 942.18, 1,411.95 and 802.63

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Solution

The fourth proportional to 942.18, 1,411.95 and 802.63 is: 1,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.18 : 1,411.95 = 802.63 : x
  2. Step 2: Convert to fraction form
    942.18/1,411.95 = 802.63/x
  3. Step 3: Cross multiply
    942.18x = 1,411.95 × 802.63
  4. Step 4: Simplify right side
    942.18x = 1,133,265.75
  5. Step 5: Solve for x
    x = 1,133,265.75/942.18
  6. Step 6: Final answer
    x = 1,202.82

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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.