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Finding the Fourth Proportional to 1,430.32, 2,145.46 and 404.32

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Solution

The fourth proportional to 1,430.32, 2,145.46 and 404.32 is: 606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.32 : 2,145.46 = 404.32 : x
  2. Step 2: Convert to fraction form
    1,430.32/2,145.46 = 404.32/x
  3. Step 3: Cross multiply
    1,430.32x = 2,145.46 × 404.32
  4. Step 4: Simplify right side
    1,430.32x = 867,452.39
  5. Step 5: Solve for x
    x = 867,452.39/1,430.32
  6. Step 6: Final answer
    x = 606.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.