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Finding the Fourth Proportional to 1,430.35, 2,145.63 and 456.55

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Solution

The fourth proportional to 1,430.35, 2,145.63 and 456.55 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.35 : 2,145.63 = 456.55 : x
  2. Step 2: Convert to fraction form
    1,430.35/2,145.63 = 456.55/x
  3. Step 3: Cross multiply
    1,430.35x = 2,145.63 × 456.55
  4. Step 4: Simplify right side
    1,430.35x = 979,587.38
  5. Step 5: Solve for x
    x = 979,587.38/1,430.35
  6. Step 6: Final answer
    x = 684.86

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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.