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Finding the Fourth Proportional to 907.99, 1,252.97 and 509.60

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Solution

The fourth proportional to 907.99, 1,252.97 and 509.60 is: 703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.99 : 1,252.97 = 509.60 : x
  2. Step 2: Convert to fraction form
    907.99/1,252.97 = 509.60/x
  3. Step 3: Cross multiply
    907.99x = 1,252.97 × 509.60
  4. Step 4: Simplify right side
    907.99x = 638,508.52
  5. Step 5: Solve for x
    x = 638,508.52/907.99
  6. Step 6: Final answer
    x = 703.21

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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.