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Finding the Fourth Proportional to 1,315.57, 1,973.07 and 493.90

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Solution

The fourth proportional to 1,315.57, 1,973.07 and 493.90 is: 740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.57 : 1,973.07 = 493.90 : x
  2. Step 2: Convert to fraction form
    1,315.57/1,973.07 = 493.90/x
  3. Step 3: Cross multiply
    1,315.57x = 1,973.07 × 493.90
  4. Step 4: Simplify right side
    1,315.57x = 974,499.27
  5. Step 5: Solve for x
    x = 974,499.27/1,315.57
  6. Step 6: Final answer
    x = 740.74

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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.