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Finding the Fourth Proportional to 907.87, 1,359.64 and 777.13

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Solution

The fourth proportional to 907.87, 1,359.64 and 777.13 is: 1,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.87 : 1,359.64 = 777.13 : x
  2. Step 2: Convert to fraction form
    907.87/1,359.64 = 777.13/x
  3. Step 3: Cross multiply
    907.87x = 1,359.64 × 777.13
  4. Step 4: Simplify right side
    907.87x = 1,056,617.03
  5. Step 5: Solve for x
    x = 1,056,617.03/907.87
  6. Step 6: Final answer
    x = 1,163.84

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Why These Related Problems?

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