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Finding the Fourth Proportional to 1,430.53, 2,143.77 and 700.62

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Solution

The fourth proportional to 1,430.53, 2,143.77 and 700.62 is: 1,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.53 : 2,143.77 = 700.62 : x
  2. Step 2: Convert to fraction form
    1,430.53/2,143.77 = 700.62/x
  3. Step 3: Cross multiply
    1,430.53x = 2,143.77 × 700.62
  4. Step 4: Simplify right side
    1,430.53x = 1,501,968.14
  5. Step 5: Solve for x
    x = 1,501,968.14/1,430.53
  6. Step 6: Final answer
    x = 1,049.94

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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.