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Finding the Fourth Proportional to 1,130.57, 1,560.33 and 688.54

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Solution

The fourth proportional to 1,130.57, 1,560.33 and 688.54 is: 950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.57 : 1,560.33 = 688.54 : x
  2. Step 2: Convert to fraction form
    1,130.57/1,560.33 = 688.54/x
  3. Step 3: Cross multiply
    1,130.57x = 1,560.33 × 688.54
  4. Step 4: Simplify right side
    1,130.57x = 1,074,338.37
  5. Step 5: Solve for x
    x = 1,074,338.37/1,130.57
  6. Step 6: Final answer
    x = 950.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.