Home / 1,056.28-1,457.58-590.44

Finding the Fourth Proportional to 1,056.28, 1,457.58 and 590.44

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Solution

The fourth proportional to 1,056.28, 1,457.58 and 590.44 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.28 : 1,457.58 = 590.44 : x
  2. Step 2: Convert to fraction form
    1,056.28/1,457.58 = 590.44/x
  3. Step 3: Cross multiply
    1,056.28x = 1,457.58 × 590.44
  4. Step 4: Simplify right side
    1,056.28x = 860,612.11
  5. Step 5: Solve for x
    x = 860,612.11/1,056.28
  6. Step 6: Final answer
    x = 814.76

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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.