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Finding the Fourth Proportional to 597.80, 897.92 and 565.12

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Solution

The fourth proportional to 597.80, 897.92 and 565.12 is: 848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 897.92 = 565.12 : x
  2. Step 2: Convert to fraction form
    597.80/897.92 = 565.12/x
  3. Step 3: Cross multiply
    597.80x = 897.92 × 565.12
  4. Step 4: Simplify right side
    597.80x = 507,432.55
  5. Step 5: Solve for x
    x = 507,432.55/597.80
  6. Step 6: Final answer
    x = 848.83

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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.