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Finding the Fourth Proportional to 699.93, 1,050.17 and 334.76

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Solution

The fourth proportional to 699.93, 1,050.17 and 334.76 is: 502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.93 : 1,050.17 = 334.76 : x
  2. Step 2: Convert to fraction form
    699.93/1,050.17 = 334.76/x
  3. Step 3: Cross multiply
    699.93x = 1,050.17 × 334.76
  4. Step 4: Simplify right side
    699.93x = 351,547.98
  5. Step 5: Solve for x
    x = 351,547.98/699.93
  6. Step 6: Final answer
    x = 502.26

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