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Finding the Fourth Proportional to 1,094.42, 1,508.90 and 652.16

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Solution

The fourth proportional to 1,094.42, 1,508.90 and 652.16 is: 899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.42 : 1,508.90 = 652.16 : x
  2. Step 2: Convert to fraction form
    1,094.42/1,508.90 = 652.16/x
  3. Step 3: Cross multiply
    1,094.42x = 1,508.90 × 652.16
  4. Step 4: Simplify right side
    1,094.42x = 984,033.42
  5. Step 5: Solve for x
    x = 984,033.42/1,094.42
  6. Step 6: Final answer
    x = 899.14

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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.