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Finding the Fourth Proportional to 1,425.59, 1,966.83 and 835.71

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Solution

The fourth proportional to 1,425.59, 1,966.83 and 835.71 is: 1,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.59 : 1,966.83 = 835.71 : x
  2. Step 2: Convert to fraction form
    1,425.59/1,966.83 = 835.71/x
  3. Step 3: Cross multiply
    1,425.59x = 1,966.83 × 835.71
  4. Step 4: Simplify right side
    1,425.59x = 1,643,699.50
  5. Step 5: Solve for x
    x = 1,643,699.50/1,425.59
  6. Step 6: Final answer
    x = 1,153.00

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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.