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Finding the Fourth Proportional to 756.60, 1,133.28 and 467.16

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Solution

The fourth proportional to 756.60, 1,133.28 and 467.16 is: 699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.60 : 1,133.28 = 467.16 : x
  2. Step 2: Convert to fraction form
    756.60/1,133.28 = 467.16/x
  3. Step 3: Cross multiply
    756.60x = 1,133.28 × 467.16
  4. Step 4: Simplify right side
    756.60x = 529,423.08
  5. Step 5: Solve for x
    x = 529,423.08/756.60
  6. Step 6: Final answer
    x = 699.74

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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.