Home / 1,020.40-1,407.64-795.93

Finding the Fourth Proportional to 1,020.40, 1,407.64 and 795.93

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Solution

The fourth proportional to 1,020.40, 1,407.64 and 795.93 is: 1,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.40 : 1,407.64 = 795.93 : x
  2. Step 2: Convert to fraction form
    1,020.40/1,407.64 = 795.93/x
  3. Step 3: Cross multiply
    1,020.40x = 1,407.64 × 795.93
  4. Step 4: Simplify right side
    1,020.40x = 1,120,377.13
  5. Step 5: Solve for x
    x = 1,120,377.13/1,020.40
  6. Step 6: Final answer
    x = 1,097.98

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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.