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Finding the Fourth Proportional to 1,498.71, 2,068.37 and 835.63

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Solution

The fourth proportional to 1,498.71, 2,068.37 and 835.63 is: 1,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.71 : 2,068.37 = 835.63 : x
  2. Step 2: Convert to fraction form
    1,498.71/2,068.37 = 835.63/x
  3. Step 3: Cross multiply
    1,498.71x = 2,068.37 × 835.63
  4. Step 4: Simplify right side
    1,498.71x = 1,728,385.81
  5. Step 5: Solve for x
    x = 1,728,385.81/1,498.71
  6. Step 6: Final answer
    x = 1,153.25

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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.