Home / 1,166.24-1,746.84-549.02

Finding the Fourth Proportional to 1,166.24, 1,746.84 and 549.02

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Solution

The fourth proportional to 1,166.24, 1,746.84 and 549.02 is: 822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.24 : 1,746.84 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,166.24/1,746.84 = 549.02/x
  3. Step 3: Cross multiply
    1,166.24x = 1,746.84 × 549.02
  4. Step 4: Simplify right side
    1,166.24x = 959,041.36
  5. Step 5: Solve for x
    x = 959,041.36/1,166.24
  6. Step 6: Final answer
    x = 822.34

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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.