Home / 1,733.12-2,599.07-500.20

Finding the Fourth Proportional to 1,733.12, 2,599.07 and 500.20

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Solution

The fourth proportional to 1,733.12, 2,599.07 and 500.20 is: 750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.12 : 2,599.07 = 500.20 : x
  2. Step 2: Convert to fraction form
    1,733.12/2,599.07 = 500.20/x
  3. Step 3: Cross multiply
    1,733.12x = 2,599.07 × 500.20
  4. Step 4: Simplify right side
    1,733.12x = 1,300,054.81
  5. Step 5: Solve for x
    x = 1,300,054.81/1,733.12
  6. Step 6: Final answer
    x = 750.12

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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.