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Finding the Fourth Proportional to 1,598.77, 2,397.61 and 982.77

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Solution

The fourth proportional to 1,598.77, 2,397.61 and 982.77 is: 1,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.77 : 2,397.61 = 982.77 : x
  2. Step 2: Convert to fraction form
    1,598.77/2,397.61 = 982.77/x
  3. Step 3: Cross multiply
    1,598.77x = 2,397.61 × 982.77
  4. Step 4: Simplify right side
    1,598.77x = 2,356,299.18
  5. Step 5: Solve for x
    x = 2,356,299.18/1,598.77
  6. Step 6: Final answer
    x = 1,473.82

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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.