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Finding the Fourth Proportional to 1,066.76, 1,598.01 and 656.70

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Solution

The fourth proportional to 1,066.76, 1,598.01 and 656.70 is: 983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.76 : 1,598.01 = 656.70 : x
  2. Step 2: Convert to fraction form
    1,066.76/1,598.01 = 656.70/x
  3. Step 3: Cross multiply
    1,066.76x = 1,598.01 × 656.70
  4. Step 4: Simplify right side
    1,066.76x = 1,049,413.17
  5. Step 5: Solve for x
    x = 1,049,413.17/1,066.76
  6. Step 6: Final answer
    x = 983.74

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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.