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Finding the Fourth Proportional to 1,055.12, 1,455.98 and 583.04

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Solution

The fourth proportional to 1,055.12, 1,455.98 and 583.04 is: 804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.12 : 1,455.98 = 583.04 : x
  2. Step 2: Convert to fraction form
    1,055.12/1,455.98 = 583.04/x
  3. Step 3: Cross multiply
    1,055.12x = 1,455.98 × 583.04
  4. Step 4: Simplify right side
    1,055.12x = 848,895.30
  5. Step 5: Solve for x
    x = 848,895.30/1,055.12
  6. Step 6: Final answer
    x = 804.55

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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.