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Finding the Fourth Proportional to 1,353.72, 2,029.19 and 530.87

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Solution

The fourth proportional to 1,353.72, 2,029.19 and 530.87 is: 795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.72 : 2,029.19 = 530.87 : x
  2. Step 2: Convert to fraction form
    1,353.72/2,029.19 = 530.87/x
  3. Step 3: Cross multiply
    1,353.72x = 2,029.19 × 530.87
  4. Step 4: Simplify right side
    1,353.72x = 1,077,236.10
  5. Step 5: Solve for x
    x = 1,077,236.10/1,353.72
  6. Step 6: Final answer
    x = 795.76

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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.