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Finding the Fourth Proportional to 1,167.54, 1,750.77 and 619.98

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Solution

The fourth proportional to 1,167.54, 1,750.77 and 619.98 is: 929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.54 : 1,750.77 = 619.98 : x
  2. Step 2: Convert to fraction form
    1,167.54/1,750.77 = 619.98/x
  3. Step 3: Cross multiply
    1,167.54x = 1,750.77 × 619.98
  4. Step 4: Simplify right side
    1,167.54x = 1,085,442.38
  5. Step 5: Solve for x
    x = 1,085,442.38/1,167.54
  6. Step 6: Final answer
    x = 929.68

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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.