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Finding the Fourth Proportional to 1,070.36, 1,603.95 and 485.54

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Solution

The fourth proportional to 1,070.36, 1,603.95 and 485.54 is: 727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.36 : 1,603.95 = 485.54 : x
  2. Step 2: Convert to fraction form
    1,070.36/1,603.95 = 485.54/x
  3. Step 3: Cross multiply
    1,070.36x = 1,603.95 × 485.54
  4. Step 4: Simplify right side
    1,070.36x = 778,773.86
  5. Step 5: Solve for x
    x = 778,773.86/1,070.36
  6. Step 6: Final answer
    x = 727.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.