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Finding the Fourth Proportional to 1,567.99, 2,352.62 and 745.75

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Solution

The fourth proportional to 1,567.99, 2,352.62 and 745.75 is: 1,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.99 : 2,352.62 = 745.75 : x
  2. Step 2: Convert to fraction form
    1,567.99/2,352.62 = 745.75/x
  3. Step 3: Cross multiply
    1,567.99x = 2,352.62 × 745.75
  4. Step 4: Simplify right side
    1,567.99x = 1,754,466.37
  5. Step 5: Solve for x
    x = 1,754,466.37/1,567.99
  6. Step 6: Final answer
    x = 1,118.93

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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.