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Finding the Fourth Proportional to 1,094.30, 1,510.16 and 646.46

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Solution

The fourth proportional to 1,094.30, 1,510.16 and 646.46 is: 892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.30 : 1,510.16 = 646.46 : x
  2. Step 2: Convert to fraction form
    1,094.30/1,510.16 = 646.46/x
  3. Step 3: Cross multiply
    1,094.30x = 1,510.16 × 646.46
  4. Step 4: Simplify right side
    1,094.30x = 976,247.25
  5. Step 5: Solve for x
    x = 976,247.25/1,094.30
  6. Step 6: Final answer
    x = 892.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.