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Finding the Fourth Proportional to 1,145.96, 1,581.46 and 703.60

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Solution

The fourth proportional to 1,145.96, 1,581.46 and 703.60 is: 970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.96 : 1,581.46 = 703.60 : x
  2. Step 2: Convert to fraction form
    1,145.96/1,581.46 = 703.60/x
  3. Step 3: Cross multiply
    1,145.96x = 1,581.46 × 703.60
  4. Step 4: Simplify right side
    1,145.96x = 1,112,715.26
  5. Step 5: Solve for x
    x = 1,112,715.26/1,145.96
  6. Step 6: Final answer
    x = 970.99

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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.