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Finding the Fourth Proportional to 1,530.06, 2,295.99 and 556.04

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Solution

The fourth proportional to 1,530.06, 2,295.99 and 556.04 is: 834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.06 : 2,295.99 = 556.04 : x
  2. Step 2: Convert to fraction form
    1,530.06/2,295.99 = 556.04/x
  3. Step 3: Cross multiply
    1,530.06x = 2,295.99 × 556.04
  4. Step 4: Simplify right side
    1,530.06x = 1,276,650.80
  5. Step 5: Solve for x
    x = 1,276,650.80/1,530.06
  6. Step 6: Final answer
    x = 834.38

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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.