Home / 1,032.12-1,547.10-381.96

Finding the Fourth Proportional to 1,032.12, 1,547.10 and 381.96

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Solution

The fourth proportional to 1,032.12, 1,547.10 and 381.96 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,547.10 = 381.96 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,547.10 = 381.96/x
  3. Step 3: Cross multiply
    1,032.12x = 1,547.10 × 381.96
  4. Step 4: Simplify right side
    1,032.12x = 590,930.32
  5. Step 5: Solve for x
    x = 590,930.32/1,032.12
  6. Step 6: Final answer
    x = 572.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.