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Finding the Fourth Proportional to 1,247.15, 1,870.75 and 322.70

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Solution

The fourth proportional to 1,247.15, 1,870.75 and 322.70 is: 484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.15 : 1,870.75 = 322.70 : x
  2. Step 2: Convert to fraction form
    1,247.15/1,870.75 = 322.70/x
  3. Step 3: Cross multiply
    1,247.15x = 1,870.75 × 322.70
  4. Step 4: Simplify right side
    1,247.15x = 603,680.86
  5. Step 5: Solve for x
    x = 603,680.86/1,247.15
  6. Step 6: Final answer
    x = 484.05

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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.