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Finding the Fourth Proportional to 907.54, 1,354.73 and 769.10

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Solution

The fourth proportional to 907.54, 1,354.73 and 769.10 is: 1,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.54 : 1,354.73 = 769.10 : x
  2. Step 2: Convert to fraction form
    907.54/1,354.73 = 769.10/x
  3. Step 3: Cross multiply
    907.54x = 1,354.73 × 769.10
  4. Step 4: Simplify right side
    907.54x = 1,041,912.22
  5. Step 5: Solve for x
    x = 1,041,912.22/907.54
  6. Step 6: Final answer
    x = 1,148.07

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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.