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Finding the Fourth Proportional to 1,314.16, 1,970.52 and 620.40

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Solution

The fourth proportional to 1,314.16, 1,970.52 and 620.40 is: 930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.16 : 1,970.52 = 620.40 : x
  2. Step 2: Convert to fraction form
    1,314.16/1,970.52 = 620.40/x
  3. Step 3: Cross multiply
    1,314.16x = 1,970.52 × 620.40
  4. Step 4: Simplify right side
    1,314.16x = 1,222,510.61
  5. Step 5: Solve for x
    x = 1,222,510.61/1,314.16
  6. Step 6: Final answer
    x = 930.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.