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Finding the Fourth Proportional to 1,567.53, 2,350.95 and 471.60

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Solution

The fourth proportional to 1,567.53, 2,350.95 and 471.60 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.53 : 2,350.95 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,567.53/2,350.95 = 471.60/x
  3. Step 3: Cross multiply
    1,567.53x = 2,350.95 × 471.60
  4. Step 4: Simplify right side
    1,567.53x = 1,108,708.02
  5. Step 5: Solve for x
    x = 1,108,708.02/1,567.53
  6. Step 6: Final answer
    x = 707.30

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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.