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Finding the Fourth Proportional to 1,301.59, 1,795.95 and 770.35

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Solution

The fourth proportional to 1,301.59, 1,795.95 and 770.35 is: 1,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.59 : 1,795.95 = 770.35 : x
  2. Step 2: Convert to fraction form
    1,301.59/1,795.95 = 770.35/x
  3. Step 3: Cross multiply
    1,301.59x = 1,795.95 × 770.35
  4. Step 4: Simplify right side
    1,301.59x = 1,383,510.08
  5. Step 5: Solve for x
    x = 1,383,510.08/1,301.59
  6. Step 6: Final answer
    x = 1,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.