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Finding the Fourth Proportional to 1,284.74, 1,772.06 and 1,038.70

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Solution

The fourth proportional to 1,284.74, 1,772.06 and 1,038.70 is: 1,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.74 : 1,772.06 = 1,038.70 : x
  2. Step 2: Convert to fraction form
    1,284.74/1,772.06 = 1,038.70/x
  3. Step 3: Cross multiply
    1,284.74x = 1,772.06 × 1,038.70
  4. Step 4: Simplify right side
    1,284.74x = 1,840,638.72
  5. Step 5: Solve for x
    x = 1,840,638.72/1,284.74
  6. Step 6: Final answer
    x = 1,432.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.