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Finding the Fourth Proportional to 1,315.65, 1,971.84 and 730.15

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Solution

The fourth proportional to 1,315.65, 1,971.84 and 730.15 is: 1,094.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.65 : 1,971.84 = 730.15 : x
  2. Step 2: Convert to fraction form
    1,315.65/1,971.84 = 730.15/x
  3. Step 3: Cross multiply
    1,315.65x = 1,971.84 × 730.15
  4. Step 4: Simplify right side
    1,315.65x = 1,439,738.98
  5. Step 5: Solve for x
    x = 1,439,738.98/1,315.65
  6. Step 6: Final answer
    x = 1,094.32

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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.