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Finding the Fourth Proportional to 697.05, 1,038.06 and 655.13

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Solution

The fourth proportional to 697.05, 1,038.06 and 655.13 is: 975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.05 : 1,038.06 = 655.13 : x
  2. Step 2: Convert to fraction form
    697.05/1,038.06 = 655.13/x
  3. Step 3: Cross multiply
    697.05x = 1,038.06 × 655.13
  4. Step 4: Simplify right side
    697.05x = 680,059.06
  5. Step 5: Solve for x
    x = 680,059.06/697.05
  6. Step 6: Final answer
    x = 975.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.