Home / 1,355.07-2,032.60-705.65

Finding the Fourth Proportional to 1,355.07, 2,032.60 and 705.65

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Solution

The fourth proportional to 1,355.07, 2,032.60 and 705.65 is: 1,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.07 : 2,032.60 = 705.65 : x
  2. Step 2: Convert to fraction form
    1,355.07/2,032.60 = 705.65/x
  3. Step 3: Cross multiply
    1,355.07x = 2,032.60 × 705.65
  4. Step 4: Simplify right side
    1,355.07x = 1,434,304.19
  5. Step 5: Solve for x
    x = 1,434,304.19/1,355.07
  6. Step 6: Final answer
    x = 1,058.47

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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.