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Finding the Fourth Proportional to 1,712.02, 2,567.74 and 509.56

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Solution

The fourth proportional to 1,712.02, 2,567.74 and 509.56 is: 764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.02 : 2,567.74 = 509.56 : x
  2. Step 2: Convert to fraction form
    1,712.02/2,567.74 = 509.56/x
  3. Step 3: Cross multiply
    1,712.02x = 2,567.74 × 509.56
  4. Step 4: Simplify right side
    1,712.02x = 1,308,417.59
  5. Step 5: Solve for x
    x = 1,308,417.59/1,712.02
  6. Step 6: Final answer
    x = 764.25

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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.