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Finding the Fourth Proportional to 1,019.83, 1,528.99 and 653.91

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Solution

The fourth proportional to 1,019.83, 1,528.99 and 653.91 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.83 : 1,528.99 = 653.91 : x
  2. Step 2: Convert to fraction form
    1,019.83/1,528.99 = 653.91/x
  3. Step 3: Cross multiply
    1,019.83x = 1,528.99 × 653.91
  4. Step 4: Simplify right side
    1,019.83x = 999,821.85
  5. Step 5: Solve for x
    x = 999,821.85/1,019.83
  6. Step 6: Final answer
    x = 980.38

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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.