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Finding the Fourth Proportional to 599.74, 894.70 and 567.34

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Solution

The fourth proportional to 599.74, 894.70 and 567.34 is: 846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.74 : 894.70 = 567.34 : x
  2. Step 2: Convert to fraction form
    599.74/894.70 = 567.34/x
  3. Step 3: Cross multiply
    599.74x = 894.70 × 567.34
  4. Step 4: Simplify right side
    599.74x = 507,599.10
  5. Step 5: Solve for x
    x = 507,599.10/599.74
  6. Step 6: Final answer
    x = 846.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.