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Finding the Fourth Proportional to 1,602.83, 2,403.77 and 678.37

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Solution

The fourth proportional to 1,602.83, 2,403.77 and 678.37 is: 1,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.83 : 2,403.77 = 678.37 : x
  2. Step 2: Convert to fraction form
    1,602.83/2,403.77 = 678.37/x
  3. Step 3: Cross multiply
    1,602.83x = 2,403.77 × 678.37
  4. Step 4: Simplify right side
    1,602.83x = 1,630,641.14
  5. Step 5: Solve for x
    x = 1,630,641.14/1,602.83
  6. Step 6: Final answer
    x = 1,017.35

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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.