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Finding the Fourth Proportional to 1,270.70, 1,906.39 and 530.06

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Solution

The fourth proportional to 1,270.70, 1,906.39 and 530.06 is: 795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.70 : 1,906.39 = 530.06 : x
  2. Step 2: Convert to fraction form
    1,270.70/1,906.39 = 530.06/x
  3. Step 3: Cross multiply
    1,270.70x = 1,906.39 × 530.06
  4. Step 4: Simplify right side
    1,270.70x = 1,010,510.09
  5. Step 5: Solve for x
    x = 1,010,510.09/1,270.70
  6. Step 6: Final answer
    x = 795.24

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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.