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Finding the Fourth Proportional to 1,130.76, 1,699.48 and 937

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Solution

The fourth proportional to 1,130.76, 1,699.48 and 937 is: 1,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.76 : 1,699.48 = 937 : x
  2. Step 2: Convert to fraction form
    1,130.76/1,699.48 = 937/x
  3. Step 3: Cross multiply
    1,130.76x = 1,699.48 × 937
  4. Step 4: Simplify right side
    1,130.76x = 1,592,412.76
  5. Step 5: Solve for x
    x = 1,592,412.76/1,130.76
  6. Step 6: Final answer
    x = 1,408.27

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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.