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Finding the Fourth Proportional to 1,315.91, 1,973.84 and 584.96

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Solution

The fourth proportional to 1,315.91, 1,973.84 and 584.96 is: 877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.91 : 1,973.84 = 584.96 : x
  2. Step 2: Convert to fraction form
    1,315.91/1,973.84 = 584.96/x
  3. Step 3: Cross multiply
    1,315.91x = 1,973.84 × 584.96
  4. Step 4: Simplify right side
    1,315.91x = 1,154,604.65
  5. Step 5: Solve for x
    x = 1,154,604.65/1,315.91
  6. Step 6: Final answer
    x = 877.42

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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.