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Finding the Fourth Proportional to 916.07, 1,373.93 and 762.98

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Solution

The fourth proportional to 916.07, 1,373.93 and 762.98 is: 1,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.07 : 1,373.93 = 762.98 : x
  2. Step 2: Convert to fraction form
    916.07/1,373.93 = 762.98/x
  3. Step 3: Cross multiply
    916.07x = 1,373.93 × 762.98
  4. Step 4: Simplify right side
    916.07x = 1,048,281.11
  5. Step 5: Solve for x
    x = 1,048,281.11/916.07
  6. Step 6: Final answer
    x = 1,144.32

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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.