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Finding the Fourth Proportional to 1,106.70, 1,656.45 and 782.70

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Solution

The fourth proportional to 1,106.70, 1,656.45 and 782.70 is: 1,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.70 : 1,656.45 = 782.70 : x
  2. Step 2: Convert to fraction form
    1,106.70/1,656.45 = 782.70/x
  3. Step 3: Cross multiply
    1,106.70x = 1,656.45 × 782.70
  4. Step 4: Simplify right side
    1,106.70x = 1,296,503.42
  5. Step 5: Solve for x
    x = 1,296,503.42/1,106.70
  6. Step 6: Final answer
    x = 1,171.50

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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.