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Finding the Fourth Proportional to 1,530.29, 2,295.67 and 556.17

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Solution

The fourth proportional to 1,530.29, 2,295.67 and 556.17 is: 834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.29 : 2,295.67 = 556.17 : x
  2. Step 2: Convert to fraction form
    1,530.29/2,295.67 = 556.17/x
  3. Step 3: Cross multiply
    1,530.29x = 2,295.67 × 556.17
  4. Step 4: Simplify right side
    1,530.29x = 1,276,782.78
  5. Step 5: Solve for x
    x = 1,276,782.78/1,530.29
  6. Step 6: Final answer
    x = 834.34

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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.