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Finding the Fourth Proportional to 1,430.52, 2,145.52 and 456.64

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Solution

The fourth proportional to 1,430.52, 2,145.52 and 456.64 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.52 : 2,145.52 = 456.64 : x
  2. Step 2: Convert to fraction form
    1,430.52/2,145.52 = 456.64/x
  3. Step 3: Cross multiply
    1,430.52x = 2,145.52 × 456.64
  4. Step 4: Simplify right side
    1,430.52x = 979,730.25
  5. Step 5: Solve for x
    x = 979,730.25/1,430.52
  6. Step 6: Final answer
    x = 684.88

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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.