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Finding the Fourth Proportional to 1,004.48, 1,386.14 and 584.84

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Solution

The fourth proportional to 1,004.48, 1,386.14 and 584.84 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.48 : 1,386.14 = 584.84 : x
  2. Step 2: Convert to fraction form
    1,004.48/1,386.14 = 584.84/x
  3. Step 3: Cross multiply
    1,004.48x = 1,386.14 × 584.84
  4. Step 4: Simplify right side
    1,004.48x = 810,665.46
  5. Step 5: Solve for x
    x = 810,665.46/1,004.48
  6. Step 6: Final answer
    x = 807.05

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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.