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Finding the Fourth Proportional to 1,470.08, 2,203.98 and 776.64

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Solution

The fourth proportional to 1,470.08, 2,203.98 and 776.64 is: 1,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.08 : 2,203.98 = 776.64 : x
  2. Step 2: Convert to fraction form
    1,470.08/2,203.98 = 776.64/x
  3. Step 3: Cross multiply
    1,470.08x = 2,203.98 × 776.64
  4. Step 4: Simplify right side
    1,470.08x = 1,711,699.03
  5. Step 5: Solve for x
    x = 1,711,699.03/1,470.08
  6. Step 6: Final answer
    x = 1,164.36

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