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Finding the Fourth Proportional to 611.07, 915.54 and 509.01

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Solution

The fourth proportional to 611.07, 915.54 and 509.01 is: 762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.07 : 915.54 = 509.01 : x
  2. Step 2: Convert to fraction form
    611.07/915.54 = 509.01/x
  3. Step 3: Cross multiply
    611.07x = 915.54 × 509.01
  4. Step 4: Simplify right side
    611.07x = 466,019.02
  5. Step 5: Solve for x
    x = 466,019.02/611.07
  6. Step 6: Final answer
    x = 762.63

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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.