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Finding the Fourth Proportional to 1,315.59, 1,815.91 and 784.86

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Solution

The fourth proportional to 1,315.59, 1,815.91 and 784.86 is: 1,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.59 : 1,815.91 = 784.86 : x
  2. Step 2: Convert to fraction form
    1,315.59/1,815.91 = 784.86/x
  3. Step 3: Cross multiply
    1,315.59x = 1,815.91 × 784.86
  4. Step 4: Simplify right side
    1,315.59x = 1,425,235.12
  5. Step 5: Solve for x
    x = 1,425,235.12/1,315.59
  6. Step 6: Final answer
    x = 1,083.34

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Why These Related Problems?

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