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Finding the Fourth Proportional to 920.91, 1,271.07 and 589.62

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Solution

The fourth proportional to 920.91, 1,271.07 and 589.62 is: 813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.91 : 1,271.07 = 589.62 : x
  2. Step 2: Convert to fraction form
    920.91/1,271.07 = 589.62/x
  3. Step 3: Cross multiply
    920.91x = 1,271.07 × 589.62
  4. Step 4: Simplify right side
    920.91x = 749,448.29
  5. Step 5: Solve for x
    x = 749,448.29/920.91
  6. Step 6: Final answer
    x = 813.81

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Double scale
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1.5x scale

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.