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Finding the Fourth Proportional to 1,395.97, 2,094.27 and 530.29

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Solution

The fourth proportional to 1,395.97, 2,094.27 and 530.29 is: 795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.97 : 2,094.27 = 530.29 : x
  2. Step 2: Convert to fraction form
    1,395.97/2,094.27 = 530.29/x
  3. Step 3: Cross multiply
    1,395.97x = 2,094.27 × 530.29
  4. Step 4: Simplify right side
    1,395.97x = 1,110,570.44
  5. Step 5: Solve for x
    x = 1,110,570.44/1,395.97
  6. Step 6: Final answer
    x = 795.55

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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.