Home / 1,056.23-1,457.61-590.48

Finding the Fourth Proportional to 1,056.23, 1,457.61 and 590.48

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Solution

The fourth proportional to 1,056.23, 1,457.61 and 590.48 is: 814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.23 : 1,457.61 = 590.48 : x
  2. Step 2: Convert to fraction form
    1,056.23/1,457.61 = 590.48/x
  3. Step 3: Cross multiply
    1,056.23x = 1,457.61 × 590.48
  4. Step 4: Simplify right side
    1,056.23x = 860,693.20
  5. Step 5: Solve for x
    x = 860,693.20/1,056.23
  6. Step 6: Final answer
    x = 814.87

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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.