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Finding the Fourth Proportional to 907.84, 1,252.83 and 493.84

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Solution

The fourth proportional to 907.84, 1,252.83 and 493.84 is: 681.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.84 : 1,252.83 = 493.84 : x
  2. Step 2: Convert to fraction form
    907.84/1,252.83 = 493.84/x
  3. Step 3: Cross multiply
    907.84x = 1,252.83 × 493.84
  4. Step 4: Simplify right side
    907.84x = 618,697.57
  5. Step 5: Solve for x
    x = 618,697.57/907.84
  6. Step 6: Final answer
    x = 681.51

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1.5x scale

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.