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Finding the Fourth Proportional to 907.36, 1,252.05 and 534.21

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Solution

The fourth proportional to 907.36, 1,252.05 and 534.21 is: 737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.36 : 1,252.05 = 534.21 : x
  2. Step 2: Convert to fraction form
    907.36/1,252.05 = 534.21/x
  3. Step 3: Cross multiply
    907.36x = 1,252.05 × 534.21
  4. Step 4: Simplify right side
    907.36x = 668,857.63
  5. Step 5: Solve for x
    x = 668,857.63/907.36
  6. Step 6: Final answer
    x = 737.15

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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.