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Finding the Fourth Proportional to 1,530.44, 2,295.75 and 434.72

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Solution

The fourth proportional to 1,530.44, 2,295.75 and 434.72 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.44 : 2,295.75 = 434.72 : x
  2. Step 2: Convert to fraction form
    1,530.44/2,295.75 = 434.72/x
  3. Step 3: Cross multiply
    1,530.44x = 2,295.75 × 434.72
  4. Step 4: Simplify right side
    1,530.44x = 998,014.18
  5. Step 5: Solve for x
    x = 998,014.18/1,530.44
  6. Step 6: Final answer
    x = 652.11

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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.