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Finding the Fourth Proportional to 907.68, 1,360.98 and 542.68

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Solution

The fourth proportional to 907.68, 1,360.98 and 542.68 is: 813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.68 : 1,360.98 = 542.68 : x
  2. Step 2: Convert to fraction form
    907.68/1,360.98 = 542.68/x
  3. Step 3: Cross multiply
    907.68x = 1,360.98 × 542.68
  4. Step 4: Simplify right side
    907.68x = 738,576.63
  5. Step 5: Solve for x
    x = 738,576.63/907.68
  6. Step 6: Final answer
    x = 813.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.