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Finding the Fourth Proportional to 738.21, 1,017.84 and 501.30

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Solution

The fourth proportional to 738.21, 1,017.84 and 501.30 is: 691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.21 : 1,017.84 = 501.30 : x
  2. Step 2: Convert to fraction form
    738.21/1,017.84 = 501.30/x
  3. Step 3: Cross multiply
    738.21x = 1,017.84 × 501.30
  4. Step 4: Simplify right side
    738.21x = 510,243.19
  5. Step 5: Solve for x
    x = 510,243.19/738.21
  6. Step 6: Final answer
    x = 691.19

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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.