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Finding the Fourth Proportional to 1,453.67, 2,180.77 and 530.53

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Solution

The fourth proportional to 1,453.67, 2,180.77 and 530.53 is: 795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.67 : 2,180.77 = 530.53 : x
  2. Step 2: Convert to fraction form
    1,453.67/2,180.77 = 530.53/x
  3. Step 3: Cross multiply
    1,453.67x = 2,180.77 × 530.53
  4. Step 4: Simplify right side
    1,453.67x = 1,156,963.91
  5. Step 5: Solve for x
    x = 1,156,963.91/1,453.67
  6. Step 6: Final answer
    x = 795.89

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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.