Home / 1,526.44-2,288.10-705.32

Finding the Fourth Proportional to 1,526.44, 2,288.10 and 705.32

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Solution

The fourth proportional to 1,526.44, 2,288.10 and 705.32 is: 1,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.44 : 2,288.10 = 705.32 : x
  2. Step 2: Convert to fraction form
    1,526.44/2,288.10 = 705.32/x
  3. Step 3: Cross multiply
    1,526.44x = 2,288.10 × 705.32
  4. Step 4: Simplify right side
    1,526.44x = 1,613,842.69
  5. Step 5: Solve for x
    x = 1,613,842.69/1,526.44
  6. Step 6: Final answer
    x = 1,057.26

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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.