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Finding the Fourth Proportional to 1,245.54, 1,868.77 and 587.40

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Solution

The fourth proportional to 1,245.54, 1,868.77 and 587.40 is: 881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.54 : 1,868.77 = 587.40 : x
  2. Step 2: Convert to fraction form
    1,245.54/1,868.77 = 587.40/x
  3. Step 3: Cross multiply
    1,245.54x = 1,868.77 × 587.40
  4. Step 4: Simplify right side
    1,245.54x = 1,097,719.74
  5. Step 5: Solve for x
    x = 1,097,719.74/1,245.54
  6. Step 6: Final answer
    x = 881.32

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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.