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Finding the Fourth Proportional to 1,315.84, 1,973.72 and 494.24

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Solution

The fourth proportional to 1,315.84, 1,973.72 and 494.24 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.84 : 1,973.72 = 494.24 : x
  2. Step 2: Convert to fraction form
    1,315.84/1,973.72 = 494.24/x
  3. Step 3: Cross multiply
    1,315.84x = 1,973.72 × 494.24
  4. Step 4: Simplify right side
    1,315.84x = 975,491.37
  5. Step 5: Solve for x
    x = 975,491.37/1,315.84
  6. Step 6: Final answer
    x = 741.34

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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.