Home / 1,070.24-1,597.69-1,022.96

Finding the Fourth Proportional to 1,070.24, 1,597.69 and 1,022.96

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Solution

The fourth proportional to 1,070.24, 1,597.69 and 1,022.96 is: 1,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.24 : 1,597.69 = 1,022.96 : x
  2. Step 2: Convert to fraction form
    1,070.24/1,597.69 = 1,022.96/x
  3. Step 3: Cross multiply
    1,070.24x = 1,597.69 × 1,022.96
  4. Step 4: Simplify right side
    1,070.24x = 1,634,372.96
  5. Step 5: Solve for x
    x = 1,634,372.96/1,070.24
  6. Step 6: Final answer
    x = 1,527.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.