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Finding the Fourth Proportional to 699.21, 1,048.61 and 457.02

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Solution

The fourth proportional to 699.21, 1,048.61 and 457.02 is: 685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.21 : 1,048.61 = 457.02 : x
  2. Step 2: Convert to fraction form
    699.21/1,048.61 = 457.02/x
  3. Step 3: Cross multiply
    699.21x = 1,048.61 × 457.02
  4. Step 4: Simplify right side
    699.21x = 479,235.74
  5. Step 5: Solve for x
    x = 479,235.74/699.21
  6. Step 6: Final answer
    x = 685.40

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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.