Home / 1,056.12-1,457.34-590.28

Finding the Fourth Proportional to 1,056.12, 1,457.34 and 590.28

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Solution

The fourth proportional to 1,056.12, 1,457.34 and 590.28 is: 814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.12 : 1,457.34 = 590.28 : x
  2. Step 2: Convert to fraction form
    1,056.12/1,457.34 = 590.28/x
  3. Step 3: Cross multiply
    1,056.12x = 1,457.34 × 590.28
  4. Step 4: Simplify right side
    1,056.12x = 860,238.66
  5. Step 5: Solve for x
    x = 860,238.66/1,056.12
  6. Step 6: Final answer
    x = 814.53

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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.