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Finding the Fourth Proportional to 1,146.93, 1,720.12 and 325.01

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Solution

The fourth proportional to 1,146.93, 1,720.12 and 325.01 is: 487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.93 : 1,720.12 = 325.01 : x
  2. Step 2: Convert to fraction form
    1,146.93/1,720.12 = 325.01/x
  3. Step 3: Cross multiply
    1,146.93x = 1,720.12 × 325.01
  4. Step 4: Simplify right side
    1,146.93x = 559,060.30
  5. Step 5: Solve for x
    x = 559,060.30/1,146.93
  6. Step 6: Final answer
    x = 487.44

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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.