Home / 1,045.23-1,566.49-428.20

Finding the Fourth Proportional to 1,045.23, 1,566.49 and 428.20

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Solution

The fourth proportional to 1,045.23, 1,566.49 and 428.20 is: 641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.23 : 1,566.49 = 428.20 : x
  2. Step 2: Convert to fraction form
    1,045.23/1,566.49 = 428.20/x
  3. Step 3: Cross multiply
    1,045.23x = 1,566.49 × 428.20
  4. Step 4: Simplify right side
    1,045.23x = 670,771.02
  5. Step 5: Solve for x
    x = 670,771.02/1,045.23
  6. Step 6: Final answer
    x = 641.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.