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Finding the Fourth Proportional to 907.98, 1,253.65 and 709.03

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Solution

The fourth proportional to 907.98, 1,253.65 and 709.03 is: 978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.98 : 1,253.65 = 709.03 : x
  2. Step 2: Convert to fraction form
    907.98/1,253.65 = 709.03/x
  3. Step 3: Cross multiply
    907.98x = 1,253.65 × 709.03
  4. Step 4: Simplify right side
    907.98x = 888,871.91
  5. Step 5: Solve for x
    x = 888,871.91/907.98
  6. Step 6: Final answer
    x = 978.96

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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.