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Finding the Fourth Proportional to 1,590.90, 2,386.10 and 768.96

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Solution

The fourth proportional to 1,590.90, 2,386.10 and 768.96 is: 1,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.90 : 2,386.10 = 768.96 : x
  2. Step 2: Convert to fraction form
    1,590.90/2,386.10 = 768.96/x
  3. Step 3: Cross multiply
    1,590.90x = 2,386.10 × 768.96
  4. Step 4: Simplify right side
    1,590.90x = 1,834,811.61
  5. Step 5: Solve for x
    x = 1,834,811.61/1,590.90
  6. Step 6: Final answer
    x = 1,153.32

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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.