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Finding the Fourth Proportional to 751.12, 1,036.64 and 527.36

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Solution

The fourth proportional to 751.12, 1,036.64 and 527.36 is: 727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.12 : 1,036.64 = 527.36 : x
  2. Step 2: Convert to fraction form
    751.12/1,036.64 = 527.36/x
  3. Step 3: Cross multiply
    751.12x = 1,036.64 × 527.36
  4. Step 4: Simplify right side
    751.12x = 546,682.47
  5. Step 5: Solve for x
    x = 546,682.47/751.12
  6. Step 6: Final answer
    x = 727.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.