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Finding the Fourth Proportional to 920.21, 1,381.32 and 510.35

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Solution

The fourth proportional to 920.21, 1,381.32 and 510.35 is: 766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.21 : 1,381.32 = 510.35 : x
  2. Step 2: Convert to fraction form
    920.21/1,381.32 = 510.35/x
  3. Step 3: Cross multiply
    920.21x = 1,381.32 × 510.35
  4. Step 4: Simplify right side
    920.21x = 704,949.76
  5. Step 5: Solve for x
    x = 704,949.76/920.21
  6. Step 6: Final answer
    x = 766.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.