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Finding the Fourth Proportional to 1,168.84, 1,612.74 and 703.24

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Solution

The fourth proportional to 1,168.84, 1,612.74 and 703.24 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.84 : 1,612.74 = 703.24 : x
  2. Step 2: Convert to fraction form
    1,168.84/1,612.74 = 703.24/x
  3. Step 3: Cross multiply
    1,168.84x = 1,612.74 × 703.24
  4. Step 4: Simplify right side
    1,168.84x = 1,134,143.28
  5. Step 5: Solve for x
    x = 1,134,143.28/1,168.84
  6. Step 6: Final answer
    x = 970.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.