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Finding the Fourth Proportional to 1,567.83, 2,352.05 and 788.01

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Solution

The fourth proportional to 1,567.83, 2,352.05 and 788.01 is: 1,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.83 : 2,352.05 = 788.01 : x
  2. Step 2: Convert to fraction form
    1,567.83/2,352.05 = 788.01/x
  3. Step 3: Cross multiply
    1,567.83x = 2,352.05 × 788.01
  4. Step 4: Simplify right side
    1,567.83x = 1,853,438.92
  5. Step 5: Solve for x
    x = 1,853,438.92/1,567.83
  6. Step 6: Final answer
    x = 1,182.17

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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.