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Finding the Fourth Proportional to 1,203.68, 1,805.63 and 510.66

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Solution

The fourth proportional to 1,203.68, 1,805.63 and 510.66 is: 766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.68 : 1,805.63 = 510.66 : x
  2. Step 2: Convert to fraction form
    1,203.68/1,805.63 = 510.66/x
  3. Step 3: Cross multiply
    1,203.68x = 1,805.63 × 510.66
  4. Step 4: Simplify right side
    1,203.68x = 922,060.46
  5. Step 5: Solve for x
    x = 922,060.46/1,203.68
  6. Step 6: Final answer
    x = 766.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.