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Finding the Fourth Proportional to 911.34, 1,357.89 and 907.69

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Solution

The fourth proportional to 911.34, 1,357.89 and 907.69 is: 1,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.34 : 1,357.89 = 907.69 : x
  2. Step 2: Convert to fraction form
    911.34/1,357.89 = 907.69/x
  3. Step 3: Cross multiply
    911.34x = 1,357.89 × 907.69
  4. Step 4: Simplify right side
    911.34x = 1,232,543.17
  5. Step 5: Solve for x
    x = 1,232,543.17/911.34
  6. Step 6: Final answer
    x = 1,352.45

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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.