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Finding the Fourth Proportional to 1,315.84, 1,973.33 and 438.11

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Solution

The fourth proportional to 1,315.84, 1,973.33 and 438.11 is: 657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.84 : 1,973.33 = 438.11 : x
  2. Step 2: Convert to fraction form
    1,315.84/1,973.33 = 438.11/x
  3. Step 3: Cross multiply
    1,315.84x = 1,973.33 × 438.11
  4. Step 4: Simplify right side
    1,315.84x = 864,532.80
  5. Step 5: Solve for x
    x = 864,532.80/1,315.84
  6. Step 6: Final answer
    x = 657.02

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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.