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Finding the Fourth Proportional to 1,010.30, 1,515.45 and 657.95

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Solution

The fourth proportional to 1,010.30, 1,515.45 and 657.95 is: 986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.30 : 1,515.45 = 657.95 : x
  2. Step 2: Convert to fraction form
    1,010.30/1,515.45 = 657.95/x
  3. Step 3: Cross multiply
    1,010.30x = 1,515.45 × 657.95
  4. Step 4: Simplify right side
    1,010.30x = 997,090.33
  5. Step 5: Solve for x
    x = 997,090.33/1,010.30
  6. Step 6: Final answer
    x = 986.93

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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.