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Finding the Fourth Proportional to 910.58, 1,365.79 and 471.81

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Solution

The fourth proportional to 910.58, 1,365.79 and 471.81 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.58 : 1,365.79 = 471.81 : x
  2. Step 2: Convert to fraction form
    910.58/1,365.79 = 471.81/x
  3. Step 3: Cross multiply
    910.58x = 1,365.79 × 471.81
  4. Step 4: Simplify right side
    910.58x = 644,393.38
  5. Step 5: Solve for x
    x = 644,393.38/910.58
  6. Step 6: Final answer
    x = 707.67

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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.