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Finding the Fourth Proportional to 1,460.46, 2,189.96 and 535.98

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Solution

The fourth proportional to 1,460.46, 2,189.96 and 535.98 is: 803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.46 : 2,189.96 = 535.98 : x
  2. Step 2: Convert to fraction form
    1,460.46/2,189.96 = 535.98/x
  3. Step 3: Cross multiply
    1,460.46x = 2,189.96 × 535.98
  4. Step 4: Simplify right side
    1,460.46x = 1,173,774.76
  5. Step 5: Solve for x
    x = 1,173,774.76/1,460.46
  6. Step 6: Final answer
    x = 803.70

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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.