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Finding the Fourth Proportional to 1,035.17, 1,428.51 and 563.06

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Solution

The fourth proportional to 1,035.17, 1,428.51 and 563.06 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.17 : 1,428.51 = 563.06 : x
  2. Step 2: Convert to fraction form
    1,035.17/1,428.51 = 563.06/x
  3. Step 3: Cross multiply
    1,035.17x = 1,428.51 × 563.06
  4. Step 4: Simplify right side
    1,035.17x = 804,329.70
  5. Step 5: Solve for x
    x = 804,329.70/1,035.17
  6. Step 6: Final answer
    x = 777.01

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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.