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Finding the Fourth Proportional to 907.04, 1,251.84 and 514.22

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Solution

The fourth proportional to 907.04, 1,251.84 and 514.22 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.04 : 1,251.84 = 514.22 : x
  2. Step 2: Convert to fraction form
    907.04/1,251.84 = 514.22/x
  3. Step 3: Cross multiply
    907.04x = 1,251.84 × 514.22
  4. Step 4: Simplify right side
    907.04x = 643,721.16
  5. Step 5: Solve for x
    x = 643,721.16/907.04
  6. Step 6: Final answer
    x = 709.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.