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Finding the Fourth Proportional to 846.35, 1,167.98 and 598.10

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Solution

The fourth proportional to 846.35, 1,167.98 and 598.10 is: 825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.35 : 1,167.98 = 598.10 : x
  2. Step 2: Convert to fraction form
    846.35/1,167.98 = 598.10/x
  3. Step 3: Cross multiply
    846.35x = 1,167.98 × 598.10
  4. Step 4: Simplify right side
    846.35x = 698,568.77
  5. Step 5: Solve for x
    x = 698,568.77/846.35
  6. Step 6: Final answer
    x = 825.39

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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.