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Finding the Fourth Proportional to 907.66, 1,252.44 and 509.34

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Solution

The fourth proportional to 907.66, 1,252.44 and 509.34 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.66 : 1,252.44 = 509.34 : x
  2. Step 2: Convert to fraction form
    907.66/1,252.44 = 509.34/x
  3. Step 3: Cross multiply
    907.66x = 1,252.44 × 509.34
  4. Step 4: Simplify right side
    907.66x = 637,917.79
  5. Step 5: Solve for x
    x = 637,917.79/907.66
  6. Step 6: Final answer
    x = 702.82

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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.