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Finding the Fourth Proportional to 1,071.40, 1,606.84 and 493.72

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Solution

The fourth proportional to 1,071.40, 1,606.84 and 493.72 is: 740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.40 : 1,606.84 = 493.72 : x
  2. Step 2: Convert to fraction form
    1,071.40/1,606.84 = 493.72/x
  3. Step 3: Cross multiply
    1,071.40x = 1,606.84 × 493.72
  4. Step 4: Simplify right side
    1,071.40x = 793,329.04
  5. Step 5: Solve for x
    x = 793,329.04/1,071.40
  6. Step 6: Final answer
    x = 740.46

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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.