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Finding the Fourth Proportional to 1,270.32, 1,904.58 and 489.67

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Solution

The fourth proportional to 1,270.32, 1,904.58 and 489.67 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.32 : 1,904.58 = 489.67 : x
  2. Step 2: Convert to fraction form
    1,270.32/1,904.58 = 489.67/x
  3. Step 3: Cross multiply
    1,270.32x = 1,904.58 × 489.67
  4. Step 4: Simplify right side
    1,270.32x = 932,606.17
  5. Step 5: Solve for x
    x = 932,606.17/1,270.32
  6. Step 6: Final answer
    x = 734.15

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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.