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Finding the Fourth Proportional to 1,193.04, 1,645.47 and 772.65

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Solution

The fourth proportional to 1,193.04, 1,645.47 and 772.65 is: 1,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,645.47 = 772.65 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,645.47 = 772.65/x
  3. Step 3: Cross multiply
    1,193.04x = 1,645.47 × 772.65
  4. Step 4: Simplify right side
    1,193.04x = 1,271,372.40
  5. Step 5: Solve for x
    x = 1,271,372.40/1,193.04
  6. Step 6: Final answer
    x = 1,065.66

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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.