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Finding the Fourth Proportional to 1,430.66, 2,145.63 and 456.26

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Solution

The fourth proportional to 1,430.66, 2,145.63 and 456.26 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.66 : 2,145.63 = 456.26 : x
  2. Step 2: Convert to fraction form
    1,430.66/2,145.63 = 456.26/x
  3. Step 3: Cross multiply
    1,430.66x = 2,145.63 × 456.26
  4. Step 4: Simplify right side
    1,430.66x = 978,965.14
  5. Step 5: Solve for x
    x = 978,965.14/1,430.66
  6. Step 6: Final answer
    x = 684.28

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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.