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Finding the Fourth Proportional to 1,315.71, 1,970.46 and 1,040.99

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Solution

The fourth proportional to 1,315.71, 1,970.46 and 1,040.99 is: 1,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.71 : 1,970.46 = 1,040.99 : x
  2. Step 2: Convert to fraction form
    1,315.71/1,970.46 = 1,040.99/x
  3. Step 3: Cross multiply
    1,315.71x = 1,970.46 × 1,040.99
  4. Step 4: Simplify right side
    1,315.71x = 2,051,219.30
  5. Step 5: Solve for x
    x = 2,051,219.30/1,315.71
  6. Step 6: Final answer
    x = 1,559.02

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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.