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Finding the Fourth Proportional to 1,597.17, 2,395.76 and 501.63

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Solution

The fourth proportional to 1,597.17, 2,395.76 and 501.63 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.17 : 2,395.76 = 501.63 : x
  2. Step 2: Convert to fraction form
    1,597.17/2,395.76 = 501.63/x
  3. Step 3: Cross multiply
    1,597.17x = 2,395.76 × 501.63
  4. Step 4: Simplify right side
    1,597.17x = 1,201,785.09
  5. Step 5: Solve for x
    x = 1,201,785.09/1,597.17
  6. Step 6: Final answer
    x = 752.45

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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.