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Finding the Fourth Proportional to 1,147.11, 1,720.16 and 325.19

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Solution

The fourth proportional to 1,147.11, 1,720.16 and 325.19 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.11 : 1,720.16 = 325.19 : x
  2. Step 2: Convert to fraction form
    1,147.11/1,720.16 = 325.19/x
  3. Step 3: Cross multiply
    1,147.11x = 1,720.16 × 325.19
  4. Step 4: Simplify right side
    1,147.11x = 559,381.50
  5. Step 5: Solve for x
    x = 559,381.50/1,147.11
  6. Step 6: Final answer
    x = 487.64

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.