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Finding the Fourth Proportional to 1,168.35, 1,752.54 and 302.64

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Solution

The fourth proportional to 1,168.35, 1,752.54 and 302.64 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.35 : 1,752.54 = 302.64 : x
  2. Step 2: Convert to fraction form
    1,168.35/1,752.54 = 302.64/x
  3. Step 3: Cross multiply
    1,168.35x = 1,752.54 × 302.64
  4. Step 4: Simplify right side
    1,168.35x = 530,388.71
  5. Step 5: Solve for x
    x = 530,388.71/1,168.35
  6. Step 6: Final answer
    x = 453.96

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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.