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Finding the Fourth Proportional to 926.67, 1,278.76 and 507.01

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Solution

The fourth proportional to 926.67, 1,278.76 and 507.01 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.67 : 1,278.76 = 507.01 : x
  2. Step 2: Convert to fraction form
    926.67/1,278.76 = 507.01/x
  3. Step 3: Cross multiply
    926.67x = 1,278.76 × 507.01
  4. Step 4: Simplify right side
    926.67x = 648,344.11
  5. Step 5: Solve for x
    x = 648,344.11/926.67
  6. Step 6: Final answer
    x = 699.65

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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.