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Finding the Fourth Proportional to 1,282.37, 1,923.55 and 358.02

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Solution

The fourth proportional to 1,282.37, 1,923.55 and 358.02 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.37 : 1,923.55 = 358.02 : x
  2. Step 2: Convert to fraction form
    1,282.37/1,923.55 = 358.02/x
  3. Step 3: Cross multiply
    1,282.37x = 1,923.55 × 358.02
  4. Step 4: Simplify right side
    1,282.37x = 688,668.48
  5. Step 5: Solve for x
    x = 688,668.48/1,282.37
  6. Step 6: Final answer
    x = 537.03

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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.