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Finding the Fourth Proportional to 775.88, 1,071.06 and 524.28

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Solution

The fourth proportional to 775.88, 1,071.06 and 524.28 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.88 : 1,071.06 = 524.28 : x
  2. Step 2: Convert to fraction form
    775.88/1,071.06 = 524.28/x
  3. Step 3: Cross multiply
    775.88x = 1,071.06 × 524.28
  4. Step 4: Simplify right side
    775.88x = 561,535.34
  5. Step 5: Solve for x
    x = 561,535.34/775.88
  6. Step 6: Final answer
    x = 723.74

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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.