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Finding the Fourth Proportional to 1,156.76, 1,735.14 and 387.26

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Solution

The fourth proportional to 1,156.76, 1,735.14 and 387.26 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.76 : 1,735.14 = 387.26 : x
  2. Step 2: Convert to fraction form
    1,156.76/1,735.14 = 387.26/x
  3. Step 3: Cross multiply
    1,156.76x = 1,735.14 × 387.26
  4. Step 4: Simplify right side
    1,156.76x = 671,950.32
  5. Step 5: Solve for x
    x = 671,950.32/1,156.76
  6. Step 6: Final answer
    x = 580.89

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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.