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Finding the Fourth Proportional to 1,071.84, 1,605.96 and 524.28

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Solution

The fourth proportional to 1,071.84, 1,605.96 and 524.28 is: 785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.84 : 1,605.96 = 524.28 : x
  2. Step 2: Convert to fraction form
    1,071.84/1,605.96 = 524.28/x
  3. Step 3: Cross multiply
    1,071.84x = 1,605.96 × 524.28
  4. Step 4: Simplify right side
    1,071.84x = 841,972.71
  5. Step 5: Solve for x
    x = 841,972.71/1,071.84
  6. Step 6: Final answer
    x = 785.54

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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.