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Finding the Fourth Proportional to 1,359.50, 1,875.29 and 835.83

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Solution

The fourth proportional to 1,359.50, 1,875.29 and 835.83 is: 1,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.50 : 1,875.29 = 835.83 : x
  2. Step 2: Convert to fraction form
    1,359.50/1,875.29 = 835.83/x
  3. Step 3: Cross multiply
    1,359.50x = 1,875.29 × 835.83
  4. Step 4: Simplify right side
    1,359.50x = 1,567,419.46
  5. Step 5: Solve for x
    x = 1,567,419.46/1,359.50
  6. Step 6: Final answer
    x = 1,152.94

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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.