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Finding the Fourth Proportional to 1,071.74, 1,607.64 and 524.36

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Solution

The fourth proportional to 1,071.74, 1,607.64 and 524.36 is: 786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.74 : 1,607.64 = 524.36 : x
  2. Step 2: Convert to fraction form
    1,071.74/1,607.64 = 524.36/x
  3. Step 3: Cross multiply
    1,071.74x = 1,607.64 × 524.36
  4. Step 4: Simplify right side
    1,071.74x = 842,982.11
  5. Step 5: Solve for x
    x = 842,982.11/1,071.74
  6. Step 6: Final answer
    x = 786.55

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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.