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Finding the Fourth Proportional to 1,100.58, 1,651.53 and 407.13

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Solution

The fourth proportional to 1,100.58, 1,651.53 and 407.13 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.58 : 1,651.53 = 407.13 : x
  2. Step 2: Convert to fraction form
    1,100.58/1,651.53 = 407.13/x
  3. Step 3: Cross multiply
    1,100.58x = 1,651.53 × 407.13
  4. Step 4: Simplify right side
    1,100.58x = 672,387.41
  5. Step 5: Solve for x
    x = 672,387.41/1,100.58
  6. Step 6: Final answer
    x = 610.94

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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.