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Finding the Fourth Proportional to 1,106.02, 1,656.64 and 520.14

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Solution

The fourth proportional to 1,106.02, 1,656.64 and 520.14 is: 779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.02 : 1,656.64 = 520.14 : x
  2. Step 2: Convert to fraction form
    1,106.02/1,656.64 = 520.14/x
  3. Step 3: Cross multiply
    1,106.02x = 1,656.64 × 520.14
  4. Step 4: Simplify right side
    1,106.02x = 861,689.40
  5. Step 5: Solve for x
    x = 861,689.40/1,106.02
  6. Step 6: Final answer
    x = 779.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.