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Finding the Fourth Proportional to 699.86, 1,048.61 and 553.05

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Solution

The fourth proportional to 699.86, 1,048.61 and 553.05 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.86 : 1,048.61 = 553.05 : x
  2. Step 2: Convert to fraction form
    699.86/1,048.61 = 553.05/x
  3. Step 3: Cross multiply
    699.86x = 1,048.61 × 553.05
  4. Step 4: Simplify right side
    699.86x = 579,935.14
  5. Step 5: Solve for x
    x = 579,935.14/699.86
  6. Step 6: Final answer
    x = 828.64

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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.