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Finding the Fourth Proportional to 907.22, 1,359.75 and 631.82

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Solution

The fourth proportional to 907.22, 1,359.75 and 631.82 is: 946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.22 : 1,359.75 = 631.82 : x
  2. Step 2: Convert to fraction form
    907.22/1,359.75 = 631.82/x
  3. Step 3: Cross multiply
    907.22x = 1,359.75 × 631.82
  4. Step 4: Simplify right side
    907.22x = 859,117.25
  5. Step 5: Solve for x
    x = 859,117.25/907.22
  6. Step 6: Final answer
    x = 946.98

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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.