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Finding the Fourth Proportional to 699.63, 1,048.40 and 553.74

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Solution

The fourth proportional to 699.63, 1,048.40 and 553.74 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.63 : 1,048.40 = 553.74 : x
  2. Step 2: Convert to fraction form
    699.63/1,048.40 = 553.74/x
  3. Step 3: Cross multiply
    699.63x = 1,048.40 × 553.74
  4. Step 4: Simplify right side
    699.63x = 580,541.02
  5. Step 5: Solve for x
    x = 580,541.02/699.63
  6. Step 6: Final answer
    x = 829.78

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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.