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Finding the Fourth Proportional to 1,026.08, 1,416.02 and 584

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Solution

The fourth proportional to 1,026.08, 1,416.02 and 584 is: 805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.08 : 1,416.02 = 584 : x
  2. Step 2: Convert to fraction form
    1,026.08/1,416.02 = 584/x
  3. Step 3: Cross multiply
    1,026.08x = 1,416.02 × 584
  4. Step 4: Simplify right side
    1,026.08x = 826,955.68
  5. Step 5: Solve for x
    x = 826,955.68/1,026.08
  6. Step 6: Final answer
    x = 805.94

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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.