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Finding the Fourth Proportional to 1,316.84, 1,976.06 and 770.08

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Solution

The fourth proportional to 1,316.84, 1,976.06 and 770.08 is: 1,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.84 : 1,976.06 = 770.08 : x
  2. Step 2: Convert to fraction form
    1,316.84/1,976.06 = 770.08/x
  3. Step 3: Cross multiply
    1,316.84x = 1,976.06 × 770.08
  4. Step 4: Simplify right side
    1,316.84x = 1,521,724.28
  5. Step 5: Solve for x
    x = 1,521,724.28/1,316.84
  6. Step 6: Final answer
    x = 1,155.59

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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.