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Finding the Fourth Proportional to 842.53, 1,162.70 and 510.87

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Solution

The fourth proportional to 842.53, 1,162.70 and 510.87 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.53 : 1,162.70 = 510.87 : x
  2. Step 2: Convert to fraction form
    842.53/1,162.70 = 510.87/x
  3. Step 3: Cross multiply
    842.53x = 1,162.70 × 510.87
  4. Step 4: Simplify right side
    842.53x = 593,989.83
  5. Step 5: Solve for x
    x = 593,989.83/842.53
  6. Step 6: Final answer
    x = 705.01

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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.