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Finding the Fourth Proportional to 760.26, 1,140.41 and 595.57

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Solution

The fourth proportional to 760.26, 1,140.41 and 595.57 is: 893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.26 : 1,140.41 = 595.57 : x
  2. Step 2: Convert to fraction form
    760.26/1,140.41 = 595.57/x
  3. Step 3: Cross multiply
    760.26x = 1,140.41 × 595.57
  4. Step 4: Simplify right side
    760.26x = 679,193.98
  5. Step 5: Solve for x
    x = 679,193.98/760.26
  6. Step 6: Final answer
    x = 893.37

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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.