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Finding the Fourth Proportional to 1,540.64, 2,312.00 and 719.00

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Solution

The fourth proportional to 1,540.64, 2,312.00 and 719.00 is: 1,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,312.00 = 719.00 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,312.00 = 719.00/x
  3. Step 3: Cross multiply
    1,540.64x = 2,312.00 × 719.00
  4. Step 4: Simplify right side
    1,540.64x = 1,662,318.24
  5. Step 5: Solve for x
    x = 1,662,318.24/1,540.64
  6. Step 6: Final answer
    x = 1,078.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.