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Finding the Fourth Proportional to 1,165.86, 1,608.53 and 772.47

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Solution

The fourth proportional to 1,165.86, 1,608.53 and 772.47 is: 1,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.86 : 1,608.53 = 772.47 : x
  2. Step 2: Convert to fraction form
    1,165.86/1,608.53 = 772.47/x
  3. Step 3: Cross multiply
    1,165.86x = 1,608.53 × 772.47
  4. Step 4: Simplify right side
    1,165.86x = 1,242,537.31
  5. Step 5: Solve for x
    x = 1,242,537.31/1,165.86
  6. Step 6: Final answer
    x = 1,065.77

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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.