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Finding the Fourth Proportional to 1,202.05, 1,802.93 and 509.00

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Solution

The fourth proportional to 1,202.05, 1,802.93 and 509.00 is: 763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.05 : 1,802.93 = 509.00 : x
  2. Step 2: Convert to fraction form
    1,202.05/1,802.93 = 509.00/x
  3. Step 3: Cross multiply
    1,202.05x = 1,802.93 × 509.00
  4. Step 4: Simplify right side
    1,202.05x = 917,679.81
  5. Step 5: Solve for x
    x = 917,679.81/1,202.05
  6. Step 6: Final answer
    x = 763.43

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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.