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Finding the Fourth Proportional to 1,203.76, 1,805.72 and 509.74

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Solution

The fourth proportional to 1,203.76, 1,805.72 and 509.74 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.76 : 1,805.72 = 509.74 : x
  2. Step 2: Convert to fraction form
    1,203.76/1,805.72 = 509.74/x
  3. Step 3: Cross multiply
    1,203.76x = 1,805.72 × 509.74
  4. Step 4: Simplify right side
    1,203.76x = 920,447.71
  5. Step 5: Solve for x
    x = 920,447.71/1,203.76
  6. Step 6: Final answer
    x = 764.64

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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.