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Finding the Fourth Proportional to 1,147.86, 1,583.10 and 705.45

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Solution

The fourth proportional to 1,147.86, 1,583.10 and 705.45 is: 972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.86 : 1,583.10 = 705.45 : x
  2. Step 2: Convert to fraction form
    1,147.86/1,583.10 = 705.45/x
  3. Step 3: Cross multiply
    1,147.86x = 1,583.10 × 705.45
  4. Step 4: Simplify right side
    1,147.86x = 1,116,797.90
  5. Step 5: Solve for x
    x = 1,116,797.90/1,147.86
  6. Step 6: Final answer
    x = 972.94

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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.