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Finding the Fourth Proportional to 1,045.95, 1,442.57 and 889.10

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Solution

The fourth proportional to 1,045.95, 1,442.57 and 889.10 is: 1,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,442.57 = 889.10 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,442.57 = 889.10/x
  3. Step 3: Cross multiply
    1,045.95x = 1,442.57 × 889.10
  4. Step 4: Simplify right side
    1,045.95x = 1,282,577.33
  5. Step 5: Solve for x
    x = 1,282,577.33/1,045.95
  6. Step 6: Final answer
    x = 1,226.24

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Why These Related Problems?

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