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Finding the Fourth Proportional to 1,355.37, 1,870.56 and 831.09

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Solution

The fourth proportional to 1,355.37, 1,870.56 and 831.09 is: 1,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.37 : 1,870.56 = 831.09 : x
  2. Step 2: Convert to fraction form
    1,355.37/1,870.56 = 831.09/x
  3. Step 3: Cross multiply
    1,355.37x = 1,870.56 × 831.09
  4. Step 4: Simplify right side
    1,355.37x = 1,554,603.71
  5. Step 5: Solve for x
    x = 1,554,603.71/1,355.37
  6. Step 6: Final answer
    x = 1,147.00

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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.