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Finding the Fourth Proportional to 972.76, 1,343.36 and 619.35

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Solution

The fourth proportional to 972.76, 1,343.36 and 619.35 is: 855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.76 : 1,343.36 = 619.35 : x
  2. Step 2: Convert to fraction form
    972.76/1,343.36 = 619.35/x
  3. Step 3: Cross multiply
    972.76x = 1,343.36 × 619.35
  4. Step 4: Simplify right side
    972.76x = 832,010.02
  5. Step 5: Solve for x
    x = 832,010.02/972.76
  6. Step 6: Final answer
    x = 855.31

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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.