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Finding the Fourth Proportional to 751.66, 1,127.64 and 264.70

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Solution

The fourth proportional to 751.66, 1,127.64 and 264.70 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.66 : 1,127.64 = 264.70 : x
  2. Step 2: Convert to fraction form
    751.66/1,127.64 = 264.70/x
  3. Step 3: Cross multiply
    751.66x = 1,127.64 × 264.70
  4. Step 4: Simplify right side
    751.66x = 298,486.31
  5. Step 5: Solve for x
    x = 298,486.31/751.66
  6. Step 6: Final answer
    x = 397.10

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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.