Home / 1,173.02-1,759.39-470.53

Finding the Fourth Proportional to 1,173.02, 1,759.39 and 470.53

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Solution

The fourth proportional to 1,173.02, 1,759.39 and 470.53 is: 705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.02 : 1,759.39 = 470.53 : x
  2. Step 2: Convert to fraction form
    1,173.02/1,759.39 = 470.53/x
  3. Step 3: Cross multiply
    1,173.02x = 1,759.39 × 470.53
  4. Step 4: Simplify right side
    1,173.02x = 827,845.78
  5. Step 5: Solve for x
    x = 827,845.78/1,173.02
  6. Step 6: Final answer
    x = 705.74

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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.