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Finding the Fourth Proportional to 930.23, 1,395.25 and 564.92

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Solution

The fourth proportional to 930.23, 1,395.25 and 564.92 is: 847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.23 : 1,395.25 = 564.92 : x
  2. Step 2: Convert to fraction form
    930.23/1,395.25 = 564.92/x
  3. Step 3: Cross multiply
    930.23x = 1,395.25 × 564.92
  4. Step 4: Simplify right side
    930.23x = 788,196.24
  5. Step 5: Solve for x
    x = 788,196.24/930.23
  6. Step 6: Final answer
    x = 847.32

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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.