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Finding the Fourth Proportional to 959.33, 1,323.18 and 566.07

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Solution

The fourth proportional to 959.33, 1,323.18 and 566.07 is: 780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.33 : 1,323.18 = 566.07 : x
  2. Step 2: Convert to fraction form
    959.33/1,323.18 = 566.07/x
  3. Step 3: Cross multiply
    959.33x = 1,323.18 × 566.07
  4. Step 4: Simplify right side
    959.33x = 749,012.50
  5. Step 5: Solve for x
    x = 749,012.50/959.33
  6. Step 6: Final answer
    x = 780.77

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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.