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Finding the Fourth Proportional to 1,315.86, 1,973.94 and 450.24

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Solution

The fourth proportional to 1,315.86, 1,973.94 and 450.24 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.86 : 1,973.94 = 450.24 : x
  2. Step 2: Convert to fraction form
    1,315.86/1,973.94 = 450.24/x
  3. Step 3: Cross multiply
    1,315.86x = 1,973.94 × 450.24
  4. Step 4: Simplify right side
    1,315.86x = 888,746.75
  5. Step 5: Solve for x
    x = 888,746.75/1,315.86
  6. Step 6: Final answer
    x = 675.41

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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.