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Finding the Fourth Proportional to 1,315.65, 1,973.31 and 341.67

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Solution

The fourth proportional to 1,315.65, 1,973.31 and 341.67 is: 512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.65 : 1,973.31 = 341.67 : x
  2. Step 2: Convert to fraction form
    1,315.65/1,973.31 = 341.67/x
  3. Step 3: Cross multiply
    1,315.65x = 1,973.31 × 341.67
  4. Step 4: Simplify right side
    1,315.65x = 674,220.83
  5. Step 5: Solve for x
    x = 674,220.83/1,315.65
  6. Step 6: Final answer
    x = 512.46

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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.