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Finding the Fourth Proportional to 1,174.35, 1,620.59 and 677.00

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Solution

The fourth proportional to 1,174.35, 1,620.59 and 677.00 is: 934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.35 : 1,620.59 = 677.00 : x
  2. Step 2: Convert to fraction form
    1,174.35/1,620.59 = 677.00/x
  3. Step 3: Cross multiply
    1,174.35x = 1,620.59 × 677.00
  4. Step 4: Simplify right side
    1,174.35x = 1,097,140.10
  5. Step 5: Solve for x
    x = 1,097,140.10/1,174.35
  6. Step 6: Final answer
    x = 934.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.