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Finding the Fourth Proportional to 956.88, 1,320.08 and 563.81

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Solution

The fourth proportional to 956.88, 1,320.08 and 563.81 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.88 : 1,320.08 = 563.81 : x
  2. Step 2: Convert to fraction form
    956.88/1,320.08 = 563.81/x
  3. Step 3: Cross multiply
    956.88x = 1,320.08 × 563.81
  4. Step 4: Simplify right side
    956.88x = 744,264.89
  5. Step 5: Solve for x
    x = 744,264.89/956.88
  6. Step 6: Final answer
    x = 777.80

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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.