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Finding the Fourth Proportional to 1,277.89, 1,917.13 and 456.23

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Solution

The fourth proportional to 1,277.89, 1,917.13 and 456.23 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.89 : 1,917.13 = 456.23 : x
  2. Step 2: Convert to fraction form
    1,277.89/1,917.13 = 456.23/x
  3. Step 3: Cross multiply
    1,277.89x = 1,917.13 × 456.23
  4. Step 4: Simplify right side
    1,277.89x = 874,652.22
  5. Step 5: Solve for x
    x = 874,652.22/1,277.89
  6. Step 6: Final answer
    x = 684.45

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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.