Home / 1,030.26-1,421.78-564.54

Finding the Fourth Proportional to 1,030.26, 1,421.78 and 564.54

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Solution

The fourth proportional to 1,030.26, 1,421.78 and 564.54 is: 779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.26 : 1,421.78 = 564.54 : x
  2. Step 2: Convert to fraction form
    1,030.26/1,421.78 = 564.54/x
  3. Step 3: Cross multiply
    1,030.26x = 1,421.78 × 564.54
  4. Step 4: Simplify right side
    1,030.26x = 802,651.68
  5. Step 5: Solve for x
    x = 802,651.68/1,030.26
  6. Step 6: Final answer
    x = 779.08

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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.