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Finding the Fourth Proportional to 802.65, 1,203.75 and 509.71

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Solution

The fourth proportional to 802.65, 1,203.75 and 509.71 is: 764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.65 : 1,203.75 = 509.71 : x
  2. Step 2: Convert to fraction form
    802.65/1,203.75 = 509.71/x
  3. Step 3: Cross multiply
    802.65x = 1,203.75 × 509.71
  4. Step 4: Simplify right side
    802.65x = 613,563.41
  5. Step 5: Solve for x
    x = 613,563.41/802.65
  6. Step 6: Final answer
    x = 764.42

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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.