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Finding the Fourth Proportional to 1,100.06, 1,646.15 and 955.51

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Solution

The fourth proportional to 1,100.06, 1,646.15 and 955.51 is: 1,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.06 : 1,646.15 = 955.51 : x
  2. Step 2: Convert to fraction form
    1,100.06/1,646.15 = 955.51/x
  3. Step 3: Cross multiply
    1,100.06x = 1,646.15 × 955.51
  4. Step 4: Simplify right side
    1,100.06x = 1,572,916.59
  5. Step 5: Solve for x
    x = 1,572,916.59/1,100.06
  6. Step 6: Final answer
    x = 1,429.85

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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.