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Finding the Fourth Proportional to 1,094.80, 1,510.80 and 597.42

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Solution

The fourth proportional to 1,094.80, 1,510.80 and 597.42 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.80 : 1,510.80 = 597.42 : x
  2. Step 2: Convert to fraction form
    1,094.80/1,510.80 = 597.42/x
  3. Step 3: Cross multiply
    1,094.80x = 1,510.80 × 597.42
  4. Step 4: Simplify right side
    1,094.80x = 902,582.14
  5. Step 5: Solve for x
    x = 902,582.14/1,094.80
  6. Step 6: Final answer
    x = 824.43

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Why These Related Problems?

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