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Finding the Fourth Proportional to 1,779.41, 2,455.44 and 982.70

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Solution

The fourth proportional to 1,779.41, 2,455.44 and 982.70 is: 1,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.41 : 2,455.44 = 982.70 : x
  2. Step 2: Convert to fraction form
    1,779.41/2,455.44 = 982.70/x
  3. Step 3: Cross multiply
    1,779.41x = 2,455.44 × 982.70
  4. Step 4: Simplify right side
    1,779.41x = 2,412,948.61
  5. Step 5: Solve for x
    x = 2,412,948.61/1,779.41
  6. Step 6: Final answer
    x = 1,356.04

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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.