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Finding the Fourth Proportional to 1,045.34, 1,567.01 and 387.06

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Solution

The fourth proportional to 1,045.34, 1,567.01 and 387.06 is: 580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.34 : 1,567.01 = 387.06 : x
  2. Step 2: Convert to fraction form
    1,045.34/1,567.01 = 387.06/x
  3. Step 3: Cross multiply
    1,045.34x = 1,567.01 × 387.06
  4. Step 4: Simplify right side
    1,045.34x = 606,524.96
  5. Step 5: Solve for x
    x = 606,524.96/1,045.34
  6. Step 6: Final answer
    x = 580.22

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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.