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Finding the Fourth Proportional to 1,237.09, 1,854.55 and 619.93

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Solution

The fourth proportional to 1,237.09, 1,854.55 and 619.93 is: 929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.09 : 1,854.55 = 619.93 : x
  2. Step 2: Convert to fraction form
    1,237.09/1,854.55 = 619.93/x
  3. Step 3: Cross multiply
    1,237.09x = 1,854.55 × 619.93
  4. Step 4: Simplify right side
    1,237.09x = 1,149,691.18
  5. Step 5: Solve for x
    x = 1,149,691.18/1,237.09
  6. Step 6: Final answer
    x = 929.35

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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.