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Finding the Fourth Proportional to 1,315.86, 1,815.68 and 756.35

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Solution

The fourth proportional to 1,315.86, 1,815.68 and 756.35 is: 1,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.86 : 1,815.68 = 756.35 : x
  2. Step 2: Convert to fraction form
    1,315.86/1,815.68 = 756.35/x
  3. Step 3: Cross multiply
    1,315.86x = 1,815.68 × 756.35
  4. Step 4: Simplify right side
    1,315.86x = 1,373,289.57
  5. Step 5: Solve for x
    x = 1,373,289.57/1,315.86
  6. Step 6: Final answer
    x = 1,043.64

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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.