Home / 1,056.17-1,457.47-590.42

Finding the Fourth Proportional to 1,056.17, 1,457.47 and 590.42

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Solution

The fourth proportional to 1,056.17, 1,457.47 and 590.42 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.17 : 1,457.47 = 590.42 : x
  2. Step 2: Convert to fraction form
    1,056.17/1,457.47 = 590.42/x
  3. Step 3: Cross multiply
    1,056.17x = 1,457.47 × 590.42
  4. Step 4: Simplify right side
    1,056.17x = 860,519.44
  5. Step 5: Solve for x
    x = 860,519.44/1,056.17
  6. Step 6: Final answer
    x = 814.75

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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.