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Finding the Fourth Proportional to 838.46, 1,156.47 and 590.06

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Solution

The fourth proportional to 838.46, 1,156.47 and 590.06 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,156.47 = 590.06 : x
  2. Step 2: Convert to fraction form
    838.46/1,156.47 = 590.06/x
  3. Step 3: Cross multiply
    838.46x = 1,156.47 × 590.06
  4. Step 4: Simplify right side
    838.46x = 682,386.69
  5. Step 5: Solve for x
    x = 682,386.69/838.46
  6. Step 6: Final answer
    x = 813.86

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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.