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Finding the Fourth Proportional to 699.27, 1,048.50 and 407.13

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Solution

The fourth proportional to 699.27, 1,048.50 and 407.13 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.27 : 1,048.50 = 407.13 : x
  2. Step 2: Convert to fraction form
    699.27/1,048.50 = 407.13/x
  3. Step 3: Cross multiply
    699.27x = 1,048.50 × 407.13
  4. Step 4: Simplify right side
    699.27x = 426,875.81
  5. Step 5: Solve for x
    x = 426,875.81/699.27
  6. Step 6: Final answer
    x = 610.46

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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.