Home / 1,071.10-1,605.30-583.78

Finding the Fourth Proportional to 1,071.10, 1,605.30 and 583.78

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Solution

The fourth proportional to 1,071.10, 1,605.30 and 583.78 is: 874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.10 : 1,605.30 = 583.78 : x
  2. Step 2: Convert to fraction form
    1,071.10/1,605.30 = 583.78/x
  3. Step 3: Cross multiply
    1,071.10x = 1,605.30 × 583.78
  4. Step 4: Simplify right side
    1,071.10x = 937,142.03
  5. Step 5: Solve for x
    x = 937,142.03/1,071.10
  6. Step 6: Final answer
    x = 874.93

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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.