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Finding the Fourth Proportional to 1,115.07, 1,672.12 and 530.24

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Solution

The fourth proportional to 1,115.07, 1,672.12 and 530.24 is: 795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.07 : 1,672.12 = 530.24 : x
  2. Step 2: Convert to fraction form
    1,115.07/1,672.12 = 530.24/x
  3. Step 3: Cross multiply
    1,115.07x = 1,672.12 × 530.24
  4. Step 4: Simplify right side
    1,115.07x = 886,622.26
  5. Step 5: Solve for x
    x = 886,622.26/1,115.07
  6. Step 6: Final answer
    x = 795.13

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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.