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Finding the Fourth Proportional to 907.01, 1,251.52 and 534.00

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Solution

The fourth proportional to 907.01, 1,251.52 and 534.00 is: 736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.01 : 1,251.52 = 534.00 : x
  2. Step 2: Convert to fraction form
    907.01/1,251.52 = 534.00/x
  3. Step 3: Cross multiply
    907.01x = 1,251.52 × 534.00
  4. Step 4: Simplify right side
    907.01x = 668,315.04
  5. Step 5: Solve for x
    x = 668,315.04/907.01
  6. Step 6: Final answer
    x = 736.83

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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.