Home / 1,047.14-1,569.55-461.52

Finding the Fourth Proportional to 1,047.14, 1,569.55 and 461.52

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Solution

The fourth proportional to 1,047.14, 1,569.55 and 461.52 is: 691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.14 : 1,569.55 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,047.14/1,569.55 = 461.52/x
  3. Step 3: Cross multiply
    1,047.14x = 1,569.55 × 461.52
  4. Step 4: Simplify right side
    1,047.14x = 724,368.56
  5. Step 5: Solve for x
    x = 724,368.56/1,047.14
  6. Step 6: Final answer
    x = 691.76

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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.