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Finding the Fourth Proportional to 846.14, 1,167.54 and 473.12

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Solution

The fourth proportional to 846.14, 1,167.54 and 473.12 is: 652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,167.54 = 473.12 : x
  2. Step 2: Convert to fraction form
    846.14/1,167.54 = 473.12/x
  3. Step 3: Cross multiply
    846.14x = 1,167.54 × 473.12
  4. Step 4: Simplify right side
    846.14x = 552,386.52
  5. Step 5: Solve for x
    x = 552,386.52/846.14
  6. Step 6: Final answer
    x = 652.83

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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.