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Finding the Fourth Proportional to 1,567.42, 2,350.87 and 471.60

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Solution

The fourth proportional to 1,567.42, 2,350.87 and 471.60 is: 707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.42 : 2,350.87 = 471.60 : x
  2. Step 2: Convert to fraction form
    1,567.42/2,350.87 = 471.60/x
  3. Step 3: Cross multiply
    1,567.42x = 2,350.87 × 471.60
  4. Step 4: Simplify right side
    1,567.42x = 1,108,670.29
  5. Step 5: Solve for x
    x = 1,108,670.29/1,567.42
  6. Step 6: Final answer
    x = 707.32

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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.