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Finding the Fourth Proportional to 652.58, 897.83 and 569.88

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Solution

The fourth proportional to 652.58, 897.83 and 569.88 is: 784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.58 : 897.83 = 569.88 : x
  2. Step 2: Convert to fraction form
    652.58/897.83 = 569.88/x
  3. Step 3: Cross multiply
    652.58x = 897.83 × 569.88
  4. Step 4: Simplify right side
    652.58x = 511,655.36
  5. Step 5: Solve for x
    x = 511,655.36/652.58
  6. Step 6: Final answer
    x = 784.05

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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.