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Finding the Fourth Proportional to 1,428.58, 1,970.76 and 831.07

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Solution

The fourth proportional to 1,428.58, 1,970.76 and 831.07 is: 1,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.58 : 1,970.76 = 831.07 : x
  2. Step 2: Convert to fraction form
    1,428.58/1,970.76 = 831.07/x
  3. Step 3: Cross multiply
    1,428.58x = 1,970.76 × 831.07
  4. Step 4: Simplify right side
    1,428.58x = 1,637,839.51
  5. Step 5: Solve for x
    x = 1,637,839.51/1,428.58
  6. Step 6: Final answer
    x = 1,146.48

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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.