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Finding the Fourth Proportional to 1,430.07, 2,145.30 and 650.06

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Solution

The fourth proportional to 1,430.07, 2,145.30 and 650.06 is: 975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.07 : 2,145.30 = 650.06 : x
  2. Step 2: Convert to fraction form
    1,430.07/2,145.30 = 650.06/x
  3. Step 3: Cross multiply
    1,430.07x = 2,145.30 × 650.06
  4. Step 4: Simplify right side
    1,430.07x = 1,394,573.72
  5. Step 5: Solve for x
    x = 1,394,573.72/1,430.07
  6. Step 6: Final answer
    x = 975.18

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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.