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Finding the Fourth Proportional to 1,009.14, 1,392.71 and 589.70

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Solution

The fourth proportional to 1,009.14, 1,392.71 and 589.70 is: 813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,392.71 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,392.71 = 589.70/x
  3. Step 3: Cross multiply
    1,009.14x = 1,392.71 × 589.70
  4. Step 4: Simplify right side
    1,009.14x = 821,271.17
  5. Step 5: Solve for x
    x = 821,271.17/1,009.14
  6. Step 6: Final answer
    x = 813.83

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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.