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Finding the Fourth Proportional to 1,168.14, 1,752.06 and 302.40

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Solution

The fourth proportional to 1,168.14, 1,752.06 and 302.40 is: 453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.14 : 1,752.06 = 302.40 : x
  2. Step 2: Convert to fraction form
    1,168.14/1,752.06 = 302.40/x
  3. Step 3: Cross multiply
    1,168.14x = 1,752.06 × 302.40
  4. Step 4: Simplify right side
    1,168.14x = 529,822.94
  5. Step 5: Solve for x
    x = 529,822.94/1,168.14
  6. Step 6: Final answer
    x = 453.56

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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.