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Finding the Fourth Proportional to 699.91, 1,048.14 and 546.08

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Solution

The fourth proportional to 699.91, 1,048.14 and 546.08 is: 817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.91 : 1,048.14 = 546.08 : x
  2. Step 2: Convert to fraction form
    699.91/1,048.14 = 546.08/x
  3. Step 3: Cross multiply
    699.91x = 1,048.14 × 546.08
  4. Step 4: Simplify right side
    699.91x = 572,363.05
  5. Step 5: Solve for x
    x = 572,363.05/699.91
  6. Step 6: Final answer
    x = 817.77

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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.