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Finding the Fourth Proportional to 1,289.35, 1,779.66 and 765.70

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Solution

The fourth proportional to 1,289.35, 1,779.66 and 765.70 is: 1,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.35 : 1,779.66 = 765.70 : x
  2. Step 2: Convert to fraction form
    1,289.35/1,779.66 = 765.70/x
  3. Step 3: Cross multiply
    1,289.35x = 1,779.66 × 765.70
  4. Step 4: Simplify right side
    1,289.35x = 1,362,685.66
  5. Step 5: Solve for x
    x = 1,362,685.66/1,289.35
  6. Step 6: Final answer
    x = 1,056.88

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1.5x scale

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.