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Finding the Fourth Proportional to 1,094.34, 1,510.20 and 652.49

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Solution

The fourth proportional to 1,094.34, 1,510.20 and 652.49 is: 900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,510.20 = 652.49 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,510.20 = 652.49/x
  3. Step 3: Cross multiply
    1,094.34x = 1,510.20 × 652.49
  4. Step 4: Simplify right side
    1,094.34x = 985,392.54
  5. Step 5: Solve for x
    x = 985,392.54/1,094.34
  6. Step 6: Final answer
    x = 900.45

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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.