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Finding the Fourth Proportional to 751.82, 1,037.61 and 542.67

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Solution

The fourth proportional to 751.82, 1,037.61 and 542.67 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.82 : 1,037.61 = 542.67 : x
  2. Step 2: Convert to fraction form
    751.82/1,037.61 = 542.67/x
  3. Step 3: Cross multiply
    751.82x = 1,037.61 × 542.67
  4. Step 4: Simplify right side
    751.82x = 563,075.93
  5. Step 5: Solve for x
    x = 563,075.93/751.82
  6. Step 6: Final answer
    x = 748.96

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