Home / 1,023.30-1,412.40-581.46

Finding the Fourth Proportional to 1,023.30, 1,412.40 and 581.46

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Solution

The fourth proportional to 1,023.30, 1,412.40 and 581.46 is: 802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.30 : 1,412.40 = 581.46 : x
  2. Step 2: Convert to fraction form
    1,023.30/1,412.40 = 581.46/x
  3. Step 3: Cross multiply
    1,023.30x = 1,412.40 × 581.46
  4. Step 4: Simplify right side
    1,023.30x = 821,254.10
  5. Step 5: Solve for x
    x = 821,254.10/1,023.30
  6. Step 6: Final answer
    x = 802.55

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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.