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Finding the Fourth Proportional to 789.99, 1,088.64 and 524.13

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Solution

The fourth proportional to 789.99, 1,088.64 and 524.13 is: 722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.99 : 1,088.64 = 524.13 : x
  2. Step 2: Convert to fraction form
    789.99/1,088.64 = 524.13/x
  3. Step 3: Cross multiply
    789.99x = 1,088.64 × 524.13
  4. Step 4: Simplify right side
    789.99x = 570,588.88
  5. Step 5: Solve for x
    x = 570,588.88/789.99
  6. Step 6: Final answer
    x = 722.27

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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.