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Finding the Fourth Proportional to 978.11, 1,349.75 and 536.00

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Solution

The fourth proportional to 978.11, 1,349.75 and 536.00 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.11 : 1,349.75 = 536.00 : x
  2. Step 2: Convert to fraction form
    978.11/1,349.75 = 536.00/x
  3. Step 3: Cross multiply
    978.11x = 1,349.75 × 536.00
  4. Step 4: Simplify right side
    978.11x = 723,464.64
  5. Step 5: Solve for x
    x = 723,464.64/978.11
  6. Step 6: Final answer
    x = 739.66

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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.