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Finding the Fourth Proportional to 1,094.76, 1,510.74 and 597.42

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Solution

The fourth proportional to 1,094.76, 1,510.74 and 597.42 is: 824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.76 : 1,510.74 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,094.76/1,510.74 = 597.42/x
  3. Step 3: Cross multiply
    1,094.76x = 1,510.74 × 597.42
  4. Step 4: Simplify right side
    1,094.76x = 902,546.29
  5. Step 5: Solve for x
    x = 902,546.29/1,094.76
  6. Step 6: Final answer
    x = 824.42

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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.