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Finding the Fourth Proportional to 1,050.46, 1,580.38 and 639.92

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Solution

The fourth proportional to 1,050.46, 1,580.38 and 639.92 is: 962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.46 : 1,580.38 = 639.92 : x
  2. Step 2: Convert to fraction form
    1,050.46/1,580.38 = 639.92/x
  3. Step 3: Cross multiply
    1,050.46x = 1,580.38 × 639.92
  4. Step 4: Simplify right side
    1,050.46x = 1,011,319.12
  5. Step 5: Solve for x
    x = 1,011,319.12/1,050.46
  6. Step 6: Final answer
    x = 962.74

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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.