Home / 1,165.13-1,746.26-548.01

Finding the Fourth Proportional to 1,165.13, 1,746.26 and 548.01

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Solution

The fourth proportional to 1,165.13, 1,746.26 and 548.01 is: 821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.13 : 1,746.26 = 548.01 : x
  2. Step 2: Convert to fraction form
    1,165.13/1,746.26 = 548.01/x
  3. Step 3: Cross multiply
    1,165.13x = 1,746.26 × 548.01
  4. Step 4: Simplify right side
    1,165.13x = 956,969.31
  5. Step 5: Solve for x
    x = 956,969.31/1,165.13
  6. Step 6: Final answer
    x = 821.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.