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Finding the Fourth Proportional to 715.48, 986.53 and 590.95

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Solution

The fourth proportional to 715.48, 986.53 and 590.95 is: 814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 986.53 = 590.95 : x
  2. Step 2: Convert to fraction form
    715.48/986.53 = 590.95/x
  3. Step 3: Cross multiply
    715.48x = 986.53 × 590.95
  4. Step 4: Simplify right side
    715.48x = 582,985.22
  5. Step 5: Solve for x
    x = 582,985.22/715.48
  6. Step 6: Final answer
    x = 814.81

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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.