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Finding the Fourth Proportional to 760.99, 1,140.55 and 413.50

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Solution

The fourth proportional to 760.99, 1,140.55 and 413.50 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.99 : 1,140.55 = 413.50 : x
  2. Step 2: Convert to fraction form
    760.99/1,140.55 = 413.50/x
  3. Step 3: Cross multiply
    760.99x = 1,140.55 × 413.50
  4. Step 4: Simplify right side
    760.99x = 471,617.43
  5. Step 5: Solve for x
    x = 471,617.43/760.99
  6. Step 6: Final answer
    x = 619.74

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Why These Related Problems?

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