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Finding the Fourth Proportional to 1,045.34, 1,567.73 and 314.94

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Solution

The fourth proportional to 1,045.34, 1,567.73 and 314.94 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.34 : 1,567.73 = 314.94 : x
  2. Step 2: Convert to fraction form
    1,045.34/1,567.73 = 314.94/x
  3. Step 3: Cross multiply
    1,045.34x = 1,567.73 × 314.94
  4. Step 4: Simplify right side
    1,045.34x = 493,739.31
  5. Step 5: Solve for x
    x = 493,739.31/1,045.34
  6. Step 6: Final answer
    x = 472.33

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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.