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Finding the Fourth Proportional to 1,430.75, 2,147.51 and 690.88

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Solution

The fourth proportional to 1,430.75, 2,147.51 and 690.88 is: 1,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.75 : 2,147.51 = 690.88 : x
  2. Step 2: Convert to fraction form
    1,430.75/2,147.51 = 690.88/x
  3. Step 3: Cross multiply
    1,430.75x = 2,147.51 × 690.88
  4. Step 4: Simplify right side
    1,430.75x = 1,483,662.89
  5. Step 5: Solve for x
    x = 1,483,662.89/1,430.75
  6. Step 6: Final answer
    x = 1,036.99

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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.