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Finding the Fourth Proportional to 1,315.23, 1,973.51 and 767.09

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Solution

The fourth proportional to 1,315.23, 1,973.51 and 767.09 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.23 : 1,973.51 = 767.09 : x
  2. Step 2: Convert to fraction form
    1,315.23/1,973.51 = 767.09/x
  3. Step 3: Cross multiply
    1,315.23x = 1,973.51 × 767.09
  4. Step 4: Simplify right side
    1,315.23x = 1,513,859.79
  5. Step 5: Solve for x
    x = 1,513,859.79/1,315.23
  6. Step 6: Final answer
    x = 1,151.02

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1.5x scale

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.