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Finding the Fourth Proportional to 1,567.57, 2,351.54 and 471.93

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Solution

The fourth proportional to 1,567.57, 2,351.54 and 471.93 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.57 : 2,351.54 = 471.93 : x
  2. Step 2: Convert to fraction form
    1,567.57/2,351.54 = 471.93/x
  3. Step 3: Cross multiply
    1,567.57x = 2,351.54 × 471.93
  4. Step 4: Simplify right side
    1,567.57x = 1,109,762.27
  5. Step 5: Solve for x
    x = 1,109,762.27/1,567.57
  6. Step 6: Final answer
    x = 707.95

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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.