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Finding the Fourth Proportional to 1,459.36, 2,188.68 and 433.36

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Solution

The fourth proportional to 1,459.36, 2,188.68 and 433.36 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.36 : 2,188.68 = 433.36 : x
  2. Step 2: Convert to fraction form
    1,459.36/2,188.68 = 433.36/x
  3. Step 3: Cross multiply
    1,459.36x = 2,188.68 × 433.36
  4. Step 4: Simplify right side
    1,459.36x = 948,486.36
  5. Step 5: Solve for x
    x = 948,486.36/1,459.36
  6. Step 6: Final answer
    x = 649.93

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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.