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Finding the Fourth Proportional to 943.12, 1,302 and 570.18

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Solution

The fourth proportional to 943.12, 1,302 and 570.18 is: 787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.12 : 1,302 = 570.18 : x
  2. Step 2: Convert to fraction form
    943.12/1,302 = 570.18/x
  3. Step 3: Cross multiply
    943.12x = 1,302 × 570.18
  4. Step 4: Simplify right side
    943.12x = 742,374.36
  5. Step 5: Solve for x
    x = 742,374.36/943.12
  6. Step 6: Final answer
    x = 787.15

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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.