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Finding the Fourth Proportional to 959.68, 1,436.19 and 589.32

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Solution

The fourth proportional to 959.68, 1,436.19 and 589.32 is: 881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.68 : 1,436.19 = 589.32 : x
  2. Step 2: Convert to fraction form
    959.68/1,436.19 = 589.32/x
  3. Step 3: Cross multiply
    959.68x = 1,436.19 × 589.32
  4. Step 4: Simplify right side
    959.68x = 846,373.28
  5. Step 5: Solve for x
    x = 846,373.28/959.68
  6. Step 6: Final answer
    x = 881.93

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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.