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Finding the Fourth Proportional to 729.08, 1,005.78 and 508.76

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Solution

The fourth proportional to 729.08, 1,005.78 and 508.76 is: 701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,005.78 = 508.76 : x
  2. Step 2: Convert to fraction form
    729.08/1,005.78 = 508.76/x
  3. Step 3: Cross multiply
    729.08x = 1,005.78 × 508.76
  4. Step 4: Simplify right side
    729.08x = 511,700.63
  5. Step 5: Solve for x
    x = 511,700.63/729.08
  6. Step 6: Final answer
    x = 701.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.