Home / 1,046.70-1,569.75-430.14

Finding the Fourth Proportional to 1,046.70, 1,569.75 and 430.14

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Solution

The fourth proportional to 1,046.70, 1,569.75 and 430.14 is: 645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.70 : 1,569.75 = 430.14 : x
  2. Step 2: Convert to fraction form
    1,046.70/1,569.75 = 430.14/x
  3. Step 3: Cross multiply
    1,046.70x = 1,569.75 × 430.14
  4. Step 4: Simplify right side
    1,046.70x = 675,212.27
  5. Step 5: Solve for x
    x = 675,212.27/1,046.70
  6. Step 6: Final answer
    x = 645.09

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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.