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Finding the Fourth Proportional to 1,094.02, 1,509.78 and 651.76

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Solution

The fourth proportional to 1,094.02, 1,509.78 and 651.76 is: 899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.02 : 1,509.78 = 651.76 : x
  2. Step 2: Convert to fraction form
    1,094.02/1,509.78 = 651.76/x
  3. Step 3: Cross multiply
    1,094.02x = 1,509.78 × 651.76
  4. Step 4: Simplify right side
    1,094.02x = 984,014.21
  5. Step 5: Solve for x
    x = 984,014.21/1,094.02
  6. Step 6: Final answer
    x = 899.45

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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.