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Finding the Fourth Proportional to 959.48, 1,323.37 and 586.15

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Solution

The fourth proportional to 959.48, 1,323.37 and 586.15 is: 808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.48 : 1,323.37 = 586.15 : x
  2. Step 2: Convert to fraction form
    959.48/1,323.37 = 586.15/x
  3. Step 3: Cross multiply
    959.48x = 1,323.37 × 586.15
  4. Step 4: Simplify right side
    959.48x = 775,693.33
  5. Step 5: Solve for x
    x = 775,693.33/959.48
  6. Step 6: Final answer
    x = 808.46

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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.