Home / 1,295.24-1,941.80-564.32

Finding the Fourth Proportional to 1,295.24, 1,941.80 and 564.32

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Solution

The fourth proportional to 1,295.24, 1,941.80 and 564.32 is: 846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.24 : 1,941.80 = 564.32 : x
  2. Step 2: Convert to fraction form
    1,295.24/1,941.80 = 564.32/x
  3. Step 3: Cross multiply
    1,295.24x = 1,941.80 × 564.32
  4. Step 4: Simplify right side
    1,295.24x = 1,095,796.58
  5. Step 5: Solve for x
    x = 1,095,796.58/1,295.24
  6. Step 6: Final answer
    x = 846.02

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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.