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Finding the Fourth Proportional to 1,099.60, 1,649.63 and 368.98

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Solution

The fourth proportional to 1,099.60, 1,649.63 and 368.98 is: 553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,649.63 = 368.98 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,649.63 = 368.98/x
  3. Step 3: Cross multiply
    1,099.60x = 1,649.63 × 368.98
  4. Step 4: Simplify right side
    1,099.60x = 608,677.28
  5. Step 5: Solve for x
    x = 608,677.28/1,099.60
  6. Step 6: Final answer
    x = 553.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.