Home / 1,764.02-2,645.49-465.32

Finding the Fourth Proportional to 1,764.02, 2,645.49 and 465.32

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Solution

The fourth proportional to 1,764.02, 2,645.49 and 465.32 is: 697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.02 : 2,645.49 = 465.32 : x
  2. Step 2: Convert to fraction form
    1,764.02/2,645.49 = 465.32/x
  3. Step 3: Cross multiply
    1,764.02x = 2,645.49 × 465.32
  4. Step 4: Simplify right side
    1,764.02x = 1,230,999.41
  5. Step 5: Solve for x
    x = 1,230,999.41/1,764.02
  6. Step 6: Final answer
    x = 697.84

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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.