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Finding the Fourth Proportional to 1,430.64, 2,145.96 and 456.88

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Solution

The fourth proportional to 1,430.64, 2,145.96 and 456.88 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.64 : 2,145.96 = 456.88 : x
  2. Step 2: Convert to fraction form
    1,430.64/2,145.96 = 456.88/x
  3. Step 3: Cross multiply
    1,430.64x = 2,145.96 × 456.88
  4. Step 4: Simplify right side
    1,430.64x = 980,446.20
  5. Step 5: Solve for x
    x = 980,446.20/1,430.64
  6. Step 6: Final answer
    x = 685.32

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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.