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Finding the Fourth Proportional to 1,590.86, 2,386.10 and 768.60

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Solution

The fourth proportional to 1,590.86, 2,386.10 and 768.60 is: 1,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.86 : 2,386.10 = 768.60 : x
  2. Step 2: Convert to fraction form
    1,590.86/2,386.10 = 768.60/x
  3. Step 3: Cross multiply
    1,590.86x = 2,386.10 × 768.60
  4. Step 4: Simplify right side
    1,590.86x = 1,833,952.62
  5. Step 5: Solve for x
    x = 1,833,952.62/1,590.86
  6. Step 6: Final answer
    x = 1,152.81

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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.