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Finding the Fourth Proportional to 583.96, 803.46 and 569.56

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Solution

The fourth proportional to 583.96, 803.46 and 569.56 is: 783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 803.46 = 569.56 : x
  2. Step 2: Convert to fraction form
    583.96/803.46 = 569.56/x
  3. Step 3: Cross multiply
    583.96x = 803.46 × 569.56
  4. Step 4: Simplify right side
    583.96x = 457,618.68
  5. Step 5: Solve for x
    x = 457,618.68/583.96
  6. Step 6: Final answer
    x = 783.65

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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.