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Finding the Fourth Proportional to 1,460.68, 2,189.70 and 535.58

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Solution

The fourth proportional to 1,460.68, 2,189.70 and 535.58 is: 802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.68 : 2,189.70 = 535.58 : x
  2. Step 2: Convert to fraction form
    1,460.68/2,189.70 = 535.58/x
  3. Step 3: Cross multiply
    1,460.68x = 2,189.70 × 535.58
  4. Step 4: Simplify right side
    1,460.68x = 1,172,759.53
  5. Step 5: Solve for x
    x = 1,172,759.53/1,460.68
  6. Step 6: Final answer
    x = 802.89

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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.