Home / 1,032.24-1,547.10-922.89

Finding the Fourth Proportional to 1,032.24, 1,547.10 and 922.89

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Solution

The fourth proportional to 1,032.24, 1,547.10 and 922.89 is: 1,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.24 : 1,547.10 = 922.89 : x
  2. Step 2: Convert to fraction form
    1,032.24/1,547.10 = 922.89/x
  3. Step 3: Cross multiply
    1,032.24x = 1,547.10 × 922.89
  4. Step 4: Simplify right side
    1,032.24x = 1,427,803.12
  5. Step 5: Solve for x
    x = 1,427,803.12/1,032.24
  6. Step 6: Final answer
    x = 1,383.21

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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.