Home / 1,056.11-1,457.42-590.36

Finding the Fourth Proportional to 1,056.11, 1,457.42 and 590.36

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Solution

The fourth proportional to 1,056.11, 1,457.42 and 590.36 is: 814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.11 : 1,457.42 = 590.36 : x
  2. Step 2: Convert to fraction form
    1,056.11/1,457.42 = 590.36/x
  3. Step 3: Cross multiply
    1,056.11x = 1,457.42 × 590.36
  4. Step 4: Simplify right side
    1,056.11x = 860,392.23
  5. Step 5: Solve for x
    x = 860,392.23/1,056.11
  6. Step 6: Final answer
    x = 814.68

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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.