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Finding the Fourth Proportional to 1,323.69, 1,985.19 and 501.45

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Solution

The fourth proportional to 1,323.69, 1,985.19 and 501.45 is: 752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.69 : 1,985.19 = 501.45 : x
  2. Step 2: Convert to fraction form
    1,323.69/1,985.19 = 501.45/x
  3. Step 3: Cross multiply
    1,323.69x = 1,985.19 × 501.45
  4. Step 4: Simplify right side
    1,323.69x = 995,473.53
  5. Step 5: Solve for x
    x = 995,473.53/1,323.69
  6. Step 6: Final answer
    x = 752.04

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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.