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Finding the Fourth Proportional to 1,235.75, 1,854.06 and 619.32

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Solution

The fourth proportional to 1,235.75, 1,854.06 and 619.32 is: 929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.75 : 1,854.06 = 619.32 : x
  2. Step 2: Convert to fraction form
    1,235.75/1,854.06 = 619.32/x
  3. Step 3: Cross multiply
    1,235.75x = 1,854.06 × 619.32
  4. Step 4: Simplify right side
    1,235.75x = 1,148,244.07
  5. Step 5: Solve for x
    x = 1,148,244.07/1,235.75
  6. Step 6: Final answer
    x = 929.19

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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.