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Finding the Fourth Proportional to 846.21, 1,167.83 and 473.19

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Solution

The fourth proportional to 846.21, 1,167.83 and 473.19 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.21 : 1,167.83 = 473.19 : x
  2. Step 2: Convert to fraction form
    846.21/1,167.83 = 473.19/x
  3. Step 3: Cross multiply
    846.21x = 1,167.83 × 473.19
  4. Step 4: Simplify right side
    846.21x = 552,603.11
  5. Step 5: Solve for x
    x = 552,603.11/846.21
  6. Step 6: Final answer
    x = 653.03

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Half scale
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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.