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Finding the Fourth Proportional to 751.04, 1,126.08 and 288.64

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Solution

The fourth proportional to 751.04, 1,126.08 and 288.64 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.04 : 1,126.08 = 288.64 : x
  2. Step 2: Convert to fraction form
    751.04/1,126.08 = 288.64/x
  3. Step 3: Cross multiply
    751.04x = 1,126.08 × 288.64
  4. Step 4: Simplify right side
    751.04x = 325,031.73
  5. Step 5: Solve for x
    x = 325,031.73/751.04
  6. Step 6: Final answer
    x = 432.78

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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.