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Finding the Fourth Proportional to 1,475.55, 2,210.35 and 683.80

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Solution

The fourth proportional to 1,475.55, 2,210.35 and 683.80 is: 1,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.55 : 2,210.35 = 683.80 : x
  2. Step 2: Convert to fraction form
    1,475.55/2,210.35 = 683.80/x
  3. Step 3: Cross multiply
    1,475.55x = 2,210.35 × 683.80
  4. Step 4: Simplify right side
    1,475.55x = 1,511,437.33
  5. Step 5: Solve for x
    x = 1,511,437.33/1,475.55
  6. Step 6: Final answer
    x = 1,024.32

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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.