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Finding the Fourth Proportional to 815.76, 1,125.63 and 466.38

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Solution

The fourth proportional to 815.76, 1,125.63 and 466.38 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,125.63 = 466.38 : x
  2. Step 2: Convert to fraction form
    815.76/1,125.63 = 466.38/x
  3. Step 3: Cross multiply
    815.76x = 1,125.63 × 466.38
  4. Step 4: Simplify right side
    815.76x = 524,971.32
  5. Step 5: Solve for x
    x = 524,971.32/815.76
  6. Step 6: Final answer
    x = 643.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.