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Finding the Fourth Proportional to 1,071.40, 1,607.64 and 523.48

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Solution

The fourth proportional to 1,071.40, 1,607.64 and 523.48 is: 785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.40 : 1,607.64 = 523.48 : x
  2. Step 2: Convert to fraction form
    1,071.40/1,607.64 = 523.48/x
  3. Step 3: Cross multiply
    1,071.40x = 1,607.64 × 523.48
  4. Step 4: Simplify right side
    1,071.40x = 841,567.39
  5. Step 5: Solve for x
    x = 841,567.39/1,071.40
  6. Step 6: Final answer
    x = 785.48

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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.