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Finding the Fourth Proportional to 1,355.59, 1,870.77 and 766.09

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Solution

The fourth proportional to 1,355.59, 1,870.77 and 766.09 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.59 : 1,870.77 = 766.09 : x
  2. Step 2: Convert to fraction form
    1,355.59/1,870.77 = 766.09/x
  3. Step 3: Cross multiply
    1,355.59x = 1,870.77 × 766.09
  4. Step 4: Simplify right side
    1,355.59x = 1,433,178.19
  5. Step 5: Solve for x
    x = 1,433,178.19/1,355.59
  6. Step 6: Final answer
    x = 1,057.24

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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.