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Finding the Fourth Proportional to 1,023.94, 1,413.05 and 558.19

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Solution

The fourth proportional to 1,023.94, 1,413.05 and 558.19 is: 770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.94 : 1,413.05 = 558.19 : x
  2. Step 2: Convert to fraction form
    1,023.94/1,413.05 = 558.19/x
  3. Step 3: Cross multiply
    1,023.94x = 1,413.05 × 558.19
  4. Step 4: Simplify right side
    1,023.94x = 788,744.06
  5. Step 5: Solve for x
    x = 788,744.06/1,023.94
  6. Step 6: Final answer
    x = 770.30

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Half scale
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Double scale
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1.5x scale

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.