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Finding the Fourth Proportional to 842.51, 1,162.78 and 510.98

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Solution

The fourth proportional to 842.51, 1,162.78 and 510.98 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.51 : 1,162.78 = 510.98 : x
  2. Step 2: Convert to fraction form
    842.51/1,162.78 = 510.98/x
  3. Step 3: Cross multiply
    842.51x = 1,162.78 × 510.98
  4. Step 4: Simplify right side
    842.51x = 594,150.23
  5. Step 5: Solve for x
    x = 594,150.23/842.51
  6. Step 6: Final answer
    x = 705.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.