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Finding the Fourth Proportional to 1,056.06, 1,457.19 and 590.22

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Solution

The fourth proportional to 1,056.06, 1,457.19 and 590.22 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.06 : 1,457.19 = 590.22 : x
  2. Step 2: Convert to fraction form
    1,056.06/1,457.19 = 590.22/x
  3. Step 3: Cross multiply
    1,056.06x = 1,457.19 × 590.22
  4. Step 4: Simplify right side
    1,056.06x = 860,062.68
  5. Step 5: Solve for x
    x = 860,062.68/1,056.06
  6. Step 6: Final answer
    x = 814.41

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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.