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Finding the Fourth Proportional to 836.99, 1,154.08 and 589.13

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Solution

The fourth proportional to 836.99, 1,154.08 and 589.13 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.99 : 1,154.08 = 589.13 : x
  2. Step 2: Convert to fraction form
    836.99/1,154.08 = 589.13/x
  3. Step 3: Cross multiply
    836.99x = 1,154.08 × 589.13
  4. Step 4: Simplify right side
    836.99x = 679,903.15
  5. Step 5: Solve for x
    x = 679,903.15/836.99
  6. Step 6: Final answer
    x = 812.32

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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.