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Finding the Fourth Proportional to 1,058.02, 1,459.99 and 585.93

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Solution

The fourth proportional to 1,058.02, 1,459.99 and 585.93 is: 808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.02 : 1,459.99 = 585.93 : x
  2. Step 2: Convert to fraction form
    1,058.02/1,459.99 = 585.93/x
  3. Step 3: Cross multiply
    1,058.02x = 1,459.99 × 585.93
  4. Step 4: Simplify right side
    1,058.02x = 855,451.94
  5. Step 5: Solve for x
    x = 855,451.94/1,058.02
  6. Step 6: Final answer
    x = 808.54

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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.