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Finding the Fourth Proportional to 1,026.96, 1,417.25 and 584.87

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Solution

The fourth proportional to 1,026.96, 1,417.25 and 584.87 is: 807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.96 : 1,417.25 = 584.87 : x
  2. Step 2: Convert to fraction form
    1,026.96/1,417.25 = 584.87/x
  3. Step 3: Cross multiply
    1,026.96x = 1,417.25 × 584.87
  4. Step 4: Simplify right side
    1,026.96x = 828,897.00
  5. Step 5: Solve for x
    x = 828,897.00/1,026.96
  6. Step 6: Final answer
    x = 807.14

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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.