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Finding the Fourth Proportional to 1,168.39, 1,752.59 and 802.07

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Solution

The fourth proportional to 1,168.39, 1,752.59 and 802.07 is: 1,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.39 : 1,752.59 = 802.07 : x
  2. Step 2: Convert to fraction form
    1,168.39/1,752.59 = 802.07/x
  3. Step 3: Cross multiply
    1,168.39x = 1,752.59 × 802.07
  4. Step 4: Simplify right side
    1,168.39x = 1,405,699.86
  5. Step 5: Solve for x
    x = 1,405,699.86/1,168.39
  6. Step 6: Final answer
    x = 1,203.11

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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.