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Finding the Fourth Proportional to 907.02, 1,360.80 and 665.10

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Solution

The fourth proportional to 907.02, 1,360.80 and 665.10 is: 997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.02 : 1,360.80 = 665.10 : x
  2. Step 2: Convert to fraction form
    907.02/1,360.80 = 665.10/x
  3. Step 3: Cross multiply
    907.02x = 1,360.80 × 665.10
  4. Step 4: Simplify right side
    907.02x = 905,068.08
  5. Step 5: Solve for x
    x = 905,068.08/907.02
  6. Step 6: Final answer
    x = 997.85

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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.