Home / 1,032.84-1,540.26-975.33

Finding the Fourth Proportional to 1,032.84, 1,540.26 and 975.33

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Solution

The fourth proportional to 1,032.84, 1,540.26 and 975.33 is: 1,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.84 : 1,540.26 = 975.33 : x
  2. Step 2: Convert to fraction form
    1,032.84/1,540.26 = 975.33/x
  3. Step 3: Cross multiply
    1,032.84x = 1,540.26 × 975.33
  4. Step 4: Simplify right side
    1,032.84x = 1,502,261.79
  5. Step 5: Solve for x
    x = 1,502,261.79/1,032.84
  6. Step 6: Final answer
    x = 1,454.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.