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Finding the Fourth Proportional to 1,442.60, 1,989.72 and 918.16

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Solution

The fourth proportional to 1,442.60, 1,989.72 and 918.16 is: 1,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.60 : 1,989.72 = 918.16 : x
  2. Step 2: Convert to fraction form
    1,442.60/1,989.72 = 918.16/x
  3. Step 3: Cross multiply
    1,442.60x = 1,989.72 × 918.16
  4. Step 4: Simplify right side
    1,442.60x = 1,826,881.32
  5. Step 5: Solve for x
    x = 1,826,881.32/1,442.60
  6. Step 6: Final answer
    x = 1,266.38

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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.