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Finding the Fourth Proportional to 1,395.90, 2,092.77 and 530.82

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Solution

The fourth proportional to 1,395.90, 2,092.77 and 530.82 is: 795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.90 : 2,092.77 = 530.82 : x
  2. Step 2: Convert to fraction form
    1,395.90/2,092.77 = 530.82/x
  3. Step 3: Cross multiply
    1,395.90x = 2,092.77 × 530.82
  4. Step 4: Simplify right side
    1,395.90x = 1,110,884.17
  5. Step 5: Solve for x
    x = 1,110,884.17/1,395.90
  6. Step 6: Final answer
    x = 795.82

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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.