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Finding the Fourth Proportional to 1,094.48, 1,509.92 and 652.14

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Solution

The fourth proportional to 1,094.48, 1,509.92 and 652.14 is: 899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.48 : 1,509.92 = 652.14 : x
  2. Step 2: Convert to fraction form
    1,094.48/1,509.92 = 652.14/x
  3. Step 3: Cross multiply
    1,094.48x = 1,509.92 × 652.14
  4. Step 4: Simplify right side
    1,094.48x = 984,679.23
  5. Step 5: Solve for x
    x = 984,679.23/1,094.48
  6. Step 6: Final answer
    x = 899.68

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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.