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Finding the Fourth Proportional to 1,047.54, 1,442.32 and 889.86

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Solution

The fourth proportional to 1,047.54, 1,442.32 and 889.86 is: 1,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.54 : 1,442.32 = 889.86 : x
  2. Step 2: Convert to fraction form
    1,047.54/1,442.32 = 889.86/x
  3. Step 3: Cross multiply
    1,047.54x = 1,442.32 × 889.86
  4. Step 4: Simplify right side
    1,047.54x = 1,283,462.88
  5. Step 5: Solve for x
    x = 1,283,462.88/1,047.54
  6. Step 6: Final answer
    x = 1,225.22

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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.