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Finding the Fourth Proportional to 1,429.65, 2,143.55 and 607.70

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Solution

The fourth proportional to 1,429.65, 2,143.55 and 607.70 is: 911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.65 : 2,143.55 = 607.70 : x
  2. Step 2: Convert to fraction form
    1,429.65/2,143.55 = 607.70/x
  3. Step 3: Cross multiply
    1,429.65x = 2,143.55 × 607.70
  4. Step 4: Simplify right side
    1,429.65x = 1,302,635.34
  5. Step 5: Solve for x
    x = 1,302,635.34/1,429.65
  6. Step 6: Final answer
    x = 911.16

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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.