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Finding the Fourth Proportional to 569.16, 852.93 and 525.02

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Solution

The fourth proportional to 569.16, 852.93 and 525.02 is: 786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 852.93 = 525.02 : x
  2. Step 2: Convert to fraction form
    569.16/852.93 = 525.02/x
  3. Step 3: Cross multiply
    569.16x = 852.93 × 525.02
  4. Step 4: Simplify right side
    569.16x = 447,801.04
  5. Step 5: Solve for x
    x = 447,801.04/569.16
  6. Step 6: Final answer
    x = 786.78

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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.