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Finding the Fourth Proportional to 652.78, 898.59 and 569.76

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Solution

The fourth proportional to 652.78, 898.59 and 569.76 is: 784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.78 : 898.59 = 569.76 : x
  2. Step 2: Convert to fraction form
    652.78/898.59 = 569.76/x
  3. Step 3: Cross multiply
    652.78x = 898.59 × 569.76
  4. Step 4: Simplify right side
    652.78x = 511,980.64
  5. Step 5: Solve for x
    x = 511,980.64/652.78
  6. Step 6: Final answer
    x = 784.31

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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.