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Finding the Fourth Proportional to 1,026.86, 1,532.72 and 944.51

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Solution

The fourth proportional to 1,026.86, 1,532.72 and 944.51 is: 1,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.86 : 1,532.72 = 944.51 : x
  2. Step 2: Convert to fraction form
    1,026.86/1,532.72 = 944.51/x
  3. Step 3: Cross multiply
    1,026.86x = 1,532.72 × 944.51
  4. Step 4: Simplify right side
    1,026.86x = 1,447,672.69
  5. Step 5: Solve for x
    x = 1,447,672.69/1,026.86
  6. Step 6: Final answer
    x = 1,409.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.