Home / 1,148.29-1,585.25-921.76

Finding the Fourth Proportional to 1,148.29, 1,585.25 and 921.76

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Solution

The fourth proportional to 1,148.29, 1,585.25 and 921.76 is: 1,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.29 : 1,585.25 = 921.76 : x
  2. Step 2: Convert to fraction form
    1,148.29/1,585.25 = 921.76/x
  3. Step 3: Cross multiply
    1,148.29x = 1,585.25 × 921.76
  4. Step 4: Simplify right side
    1,148.29x = 1,461,220.04
  5. Step 5: Solve for x
    x = 1,461,220.04/1,148.29
  6. Step 6: Final answer
    x = 1,272.52

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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.