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Finding the Fourth Proportional to 920.07, 1,269.14 and 657.63

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Solution

The fourth proportional to 920.07, 1,269.14 and 657.63 is: 907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.07 : 1,269.14 = 657.63 : x
  2. Step 2: Convert to fraction form
    920.07/1,269.14 = 657.63/x
  3. Step 3: Cross multiply
    920.07x = 1,269.14 × 657.63
  4. Step 4: Simplify right side
    920.07x = 834,621.25
  5. Step 5: Solve for x
    x = 834,621.25/920.07
  6. Step 6: Final answer
    x = 907.13

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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.