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Finding the Fourth Proportional to 1,597.55, 2,396.63 and 501.93

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Solution

The fourth proportional to 1,597.55, 2,396.63 and 501.93 is: 752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.55 : 2,396.63 = 501.93 : x
  2. Step 2: Convert to fraction form
    1,597.55/2,396.63 = 501.93/x
  3. Step 3: Cross multiply
    1,597.55x = 2,396.63 × 501.93
  4. Step 4: Simplify right side
    1,597.55x = 1,202,941.75
  5. Step 5: Solve for x
    x = 1,202,941.75/1,597.55
  6. Step 6: Final answer
    x = 752.99

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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.