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Finding the Fourth Proportional to 1,099.51, 1,649.43 and 407.16

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Solution

The fourth proportional to 1,099.51, 1,649.43 and 407.16 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.51 : 1,649.43 = 407.16 : x
  2. Step 2: Convert to fraction form
    1,099.51/1,649.43 = 407.16/x
  3. Step 3: Cross multiply
    1,099.51x = 1,649.43 × 407.16
  4. Step 4: Simplify right side
    1,099.51x = 671,581.92
  5. Step 5: Solve for x
    x = 671,581.92/1,099.51
  6. Step 6: Final answer
    x = 610.80

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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.