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Finding the Fourth Proportional to 1,315.66, 1,973.51 and 391.31

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Solution

The fourth proportional to 1,315.66, 1,973.51 and 391.31 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.66 : 1,973.51 = 391.31 : x
  2. Step 2: Convert to fraction form
    1,315.66/1,973.51 = 391.31/x
  3. Step 3: Cross multiply
    1,315.66x = 1,973.51 × 391.31
  4. Step 4: Simplify right side
    1,315.66x = 772,252.24
  5. Step 5: Solve for x
    x = 772,252.24/1,315.66
  6. Step 6: Final answer
    x = 586.97

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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.