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Finding the Fourth Proportional to 907.48, 1,362.43 and 537.97

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Solution

The fourth proportional to 907.48, 1,362.43 and 537.97 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.48 : 1,362.43 = 537.97 : x
  2. Step 2: Convert to fraction form
    907.48/1,362.43 = 537.97/x
  3. Step 3: Cross multiply
    907.48x = 1,362.43 × 537.97
  4. Step 4: Simplify right side
    907.48x = 732,946.47
  5. Step 5: Solve for x
    x = 732,946.47/907.48
  6. Step 6: Final answer
    x = 807.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.