Home / 1,056.26-1,457.62-590.50

Finding the Fourth Proportional to 1,056.26, 1,457.62 and 590.50

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Solution

The fourth proportional to 1,056.26, 1,457.62 and 590.50 is: 814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.26 : 1,457.62 = 590.50 : x
  2. Step 2: Convert to fraction form
    1,056.26/1,457.62 = 590.50/x
  3. Step 3: Cross multiply
    1,056.26x = 1,457.62 × 590.50
  4. Step 4: Simplify right side
    1,056.26x = 860,724.61
  5. Step 5: Solve for x
    x = 860,724.61/1,056.26
  6. Step 6: Final answer
    x = 814.88

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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.