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Finding the Fourth Proportional to 569.64, 784.16 and 547.76

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Solution

The fourth proportional to 569.64, 784.16 and 547.76 is: 754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 784.16 = 547.76 : x
  2. Step 2: Convert to fraction form
    569.64/784.16 = 547.76/x
  3. Step 3: Cross multiply
    569.64x = 784.16 × 547.76
  4. Step 4: Simplify right side
    569.64x = 429,531.48
  5. Step 5: Solve for x
    x = 429,531.48/569.64
  6. Step 6: Final answer
    x = 754.04

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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.