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Finding the Fourth Proportional to 1,055.84, 1,457.10 and 590.09

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Solution

The fourth proportional to 1,055.84, 1,457.10 and 590.09 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.84 : 1,457.10 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,055.84/1,457.10 = 590.09/x
  3. Step 3: Cross multiply
    1,055.84x = 1,457.10 × 590.09
  4. Step 4: Simplify right side
    1,055.84x = 859,812.85
  5. Step 5: Solve for x
    x = 859,812.85/1,055.84
  6. Step 6: Final answer
    x = 814.34

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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.