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Finding the Fourth Proportional to 1,094.24, 1,509.81 and 651.35

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Solution

The fourth proportional to 1,094.24, 1,509.81 and 651.35 is: 898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.24 : 1,509.81 = 651.35 : x
  2. Step 2: Convert to fraction form
    1,094.24/1,509.81 = 651.35/x
  3. Step 3: Cross multiply
    1,094.24x = 1,509.81 × 651.35
  4. Step 4: Simplify right side
    1,094.24x = 983,414.74
  5. Step 5: Solve for x
    x = 983,414.74/1,094.24
  6. Step 6: Final answer
    x = 898.72

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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.