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Finding the Fourth Proportional to 959.19, 1,435.95 and 592.80

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Solution

The fourth proportional to 959.19, 1,435.95 and 592.80 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.19 : 1,435.95 = 592.80 : x
  2. Step 2: Convert to fraction form
    959.19/1,435.95 = 592.80/x
  3. Step 3: Cross multiply
    959.19x = 1,435.95 × 592.80
  4. Step 4: Simplify right side
    959.19x = 851,231.16
  5. Step 5: Solve for x
    x = 851,231.16/959.19
  6. Step 6: Final answer
    x = 887.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.