Home / 1,077.18-1,606.85-945.96

Finding the Fourth Proportional to 1,077.18, 1,606.85 and 945.96

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Solution

The fourth proportional to 1,077.18, 1,606.85 and 945.96 is: 1,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.18 : 1,606.85 = 945.96 : x
  2. Step 2: Convert to fraction form
    1,077.18/1,606.85 = 945.96/x
  3. Step 3: Cross multiply
    1,077.18x = 1,606.85 × 945.96
  4. Step 4: Simplify right side
    1,077.18x = 1,520,011.10
  5. Step 5: Solve for x
    x = 1,520,011.10/1,077.18
  6. Step 6: Final answer
    x = 1,411.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.