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Finding the Fourth Proportional to 923.91, 1,275.07 and 525.70

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Solution

The fourth proportional to 923.91, 1,275.07 and 525.70 is: 725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.91 : 1,275.07 = 525.70 : x
  2. Step 2: Convert to fraction form
    923.91/1,275.07 = 525.70/x
  3. Step 3: Cross multiply
    923.91x = 1,275.07 × 525.70
  4. Step 4: Simplify right side
    923.91x = 670,297.92
  5. Step 5: Solve for x
    x = 670,297.92/923.91
  6. Step 6: Final answer
    x = 725.50

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