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Finding the Fourth Proportional to 1,147.37, 1,582.78 and 675.04

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Solution

The fourth proportional to 1,147.37, 1,582.78 and 675.04 is: 931.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.37 : 1,582.78 = 675.04 : x
  2. Step 2: Convert to fraction form
    1,147.37/1,582.78 = 675.04/x
  3. Step 3: Cross multiply
    1,147.37x = 1,582.78 × 675.04
  4. Step 4: Simplify right side
    1,147.37x = 1,068,438.40
  5. Step 5: Solve for x
    x = 1,068,438.40/1,147.37
  6. Step 6: Final answer
    x = 931.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.