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Finding the Fourth Proportional to 1,025.20, 1,411.20 and 918.58

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Solution

The fourth proportional to 1,025.20, 1,411.20 and 918.58 is: 1,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.20 : 1,411.20 = 918.58 : x
  2. Step 2: Convert to fraction form
    1,025.20/1,411.20 = 918.58/x
  3. Step 3: Cross multiply
    1,025.20x = 1,411.20 × 918.58
  4. Step 4: Simplify right side
    1,025.20x = 1,296,300.10
  5. Step 5: Solve for x
    x = 1,296,300.10/1,025.20
  6. Step 6: Final answer
    x = 1,264.44

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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.