Home / 1,037.16-1,431.53-932.07

Finding the Fourth Proportional to 1,037.16, 1,431.53 and 932.07

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Solution

The fourth proportional to 1,037.16, 1,431.53 and 932.07 is: 1,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.16 : 1,431.53 = 932.07 : x
  2. Step 2: Convert to fraction form
    1,037.16/1,431.53 = 932.07/x
  3. Step 3: Cross multiply
    1,037.16x = 1,431.53 × 932.07
  4. Step 4: Simplify right side
    1,037.16x = 1,334,281.51
  5. Step 5: Solve for x
    x = 1,334,281.51/1,037.16
  6. Step 6: Final answer
    x = 1,286.48

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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.