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Finding the Fourth Proportional to 1,762.36, 2,642.86 and 529.52

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Solution

The fourth proportional to 1,762.36, 2,642.86 and 529.52 is: 794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.36 : 2,642.86 = 529.52 : x
  2. Step 2: Convert to fraction form
    1,762.36/2,642.86 = 529.52/x
  3. Step 3: Cross multiply
    1,762.36x = 2,642.86 × 529.52
  4. Step 4: Simplify right side
    1,762.36x = 1,399,447.23
  5. Step 5: Solve for x
    x = 1,399,447.23/1,762.36
  6. Step 6: Final answer
    x = 794.08

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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.