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Finding the Fourth Proportional to 907.80, 1,252.77 and 509.49

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Solution

The fourth proportional to 907.80, 1,252.77 and 509.49 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,252.77 = 509.49 : x
  2. Step 2: Convert to fraction form
    907.80/1,252.77 = 509.49/x
  3. Step 3: Cross multiply
    907.80x = 1,252.77 × 509.49
  4. Step 4: Simplify right side
    907.80x = 638,273.79
  5. Step 5: Solve for x
    x = 638,273.79/907.80
  6. Step 6: Final answer
    x = 703.10

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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.