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Finding the Fourth Proportional to 1,026.04, 1,416.08 and 583.85

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Solution

The fourth proportional to 1,026.04, 1,416.08 and 583.85 is: 805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.04 : 1,416.08 = 583.85 : x
  2. Step 2: Convert to fraction form
    1,026.04/1,416.08 = 583.85/x
  3. Step 3: Cross multiply
    1,026.04x = 1,416.08 × 583.85
  4. Step 4: Simplify right side
    1,026.04x = 826,778.31
  5. Step 5: Solve for x
    x = 826,778.31/1,026.04
  6. Step 6: Final answer
    x = 805.80

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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.