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Finding the Fourth Proportional to 1,287.71, 1,931.10 and 465.77

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Solution

The fourth proportional to 1,287.71, 1,931.10 and 465.77 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.71 : 1,931.10 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,287.71/1,931.10 = 465.77/x
  3. Step 3: Cross multiply
    1,287.71x = 1,931.10 × 465.77
  4. Step 4: Simplify right side
    1,287.71x = 899,438.79
  5. Step 5: Solve for x
    x = 899,438.79/1,287.71
  6. Step 6: Final answer
    x = 698.48

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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.