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Finding the Fourth Proportional to 939.10, 1,409.55 and 802.30

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Solution

The fourth proportional to 939.10, 1,409.55 and 802.30 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.10 : 1,409.55 = 802.30 : x
  2. Step 2: Convert to fraction form
    939.10/1,409.55 = 802.30/x
  3. Step 3: Cross multiply
    939.10x = 1,409.55 × 802.30
  4. Step 4: Simplify right side
    939.10x = 1,130,881.97
  5. Step 5: Solve for x
    x = 1,130,881.97/939.10
  6. Step 6: Final answer
    x = 1,204.22

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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.