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Finding the Fourth Proportional to 1,498.71, 2,068.24 and 835.49

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Solution

The fourth proportional to 1,498.71, 2,068.24 and 835.49 is: 1,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.71 : 2,068.24 = 835.49 : x
  2. Step 2: Convert to fraction form
    1,498.71/2,068.24 = 835.49/x
  3. Step 3: Cross multiply
    1,498.71x = 2,068.24 × 835.49
  4. Step 4: Simplify right side
    1,498.71x = 1,727,989.20
  5. Step 5: Solve for x
    x = 1,727,989.20/1,498.71
  6. Step 6: Final answer
    x = 1,152.99

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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.