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Finding the Fourth Proportional to 926.64, 1,278.75 and 507.00

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Solution

The fourth proportional to 926.64, 1,278.75 and 507.00 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,278.75 = 507.00 : x
  2. Step 2: Convert to fraction form
    926.64/1,278.75 = 507.00/x
  3. Step 3: Cross multiply
    926.64x = 1,278.75 × 507.00
  4. Step 4: Simplify right side
    926.64x = 648,324.22
  5. Step 5: Solve for x
    x = 648,324.22/926.64
  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.