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Finding the Fourth Proportional to 1,026.92, 1,417.10 and 584.80

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Solution

The fourth proportional to 1,026.92, 1,417.10 and 584.80 is: 807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.92 : 1,417.10 = 584.80 : x
  2. Step 2: Convert to fraction form
    1,026.92/1,417.10 = 584.80/x
  3. Step 3: Cross multiply
    1,026.92x = 1,417.10 × 584.80
  4. Step 4: Simplify right side
    1,026.92x = 828,720.08
  5. Step 5: Solve for x
    x = 828,720.08/1,026.92
  6. Step 6: Final answer
    x = 807.00

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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.