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Finding the Fourth Proportional to 1,045.98, 1,568.99 and 498.22

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Solution

The fourth proportional to 1,045.98, 1,568.99 and 498.22 is: 747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.98 : 1,568.99 = 498.22 : x
  2. Step 2: Convert to fraction form
    1,045.98/1,568.99 = 498.22/x
  3. Step 3: Cross multiply
    1,045.98x = 1,568.99 × 498.22
  4. Step 4: Simplify right side
    1,045.98x = 781,699.52
  5. Step 5: Solve for x
    x = 781,699.52/1,045.98
  6. Step 6: Final answer
    x = 747.34

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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.