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Finding the Fourth Proportional to 1,051.14, 1,576.29 and 434.46

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Solution

The fourth proportional to 1,051.14, 1,576.29 and 434.46 is: 651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.14 : 1,576.29 = 434.46 : x
  2. Step 2: Convert to fraction form
    1,051.14/1,576.29 = 434.46/x
  3. Step 3: Cross multiply
    1,051.14x = 1,576.29 × 434.46
  4. Step 4: Simplify right side
    1,051.14x = 684,834.95
  5. Step 5: Solve for x
    x = 684,834.95/1,051.14
  6. Step 6: Final answer
    x = 651.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.