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Finding the Fourth Proportional to 975.34, 1,462.23 and 564.01

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Solution

The fourth proportional to 975.34, 1,462.23 and 564.01 is: 845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.34 : 1,462.23 = 564.01 : x
  2. Step 2: Convert to fraction form
    975.34/1,462.23 = 564.01/x
  3. Step 3: Cross multiply
    975.34x = 1,462.23 × 564.01
  4. Step 4: Simplify right side
    975.34x = 824,712.34
  5. Step 5: Solve for x
    x = 824,712.34/975.34
  6. Step 6: Final answer
    x = 845.56

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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.