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Finding the Fourth Proportional to 595.76, 891.71 and 574.36

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Solution

The fourth proportional to 595.76, 891.71 and 574.36 is: 859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 891.71 = 574.36 : x
  2. Step 2: Convert to fraction form
    595.76/891.71 = 574.36/x
  3. Step 3: Cross multiply
    595.76x = 891.71 × 574.36
  4. Step 4: Simplify right side
    595.76x = 512,162.56
  5. Step 5: Solve for x
    x = 512,162.56/595.76
  6. Step 6: Final answer
    x = 859.68

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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.