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Finding the Fourth Proportional to 1,663.68, 2,495.16 and 509.16

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Solution

The fourth proportional to 1,663.68, 2,495.16 and 509.16 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.68 : 2,495.16 = 509.16 : x
  2. Step 2: Convert to fraction form
    1,663.68/2,495.16 = 509.16/x
  3. Step 3: Cross multiply
    1,663.68x = 2,495.16 × 509.16
  4. Step 4: Simplify right side
    1,663.68x = 1,270,435.67
  5. Step 5: Solve for x
    x = 1,270,435.67/1,663.68
  6. Step 6: Final answer
    x = 763.63

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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.