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Finding the Fourth Proportional to 795.47, 1,195.02 and 471.06

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Solution

The fourth proportional to 795.47, 1,195.02 and 471.06 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.47 : 1,195.02 = 471.06 : x
  2. Step 2: Convert to fraction form
    795.47/1,195.02 = 471.06/x
  3. Step 3: Cross multiply
    795.47x = 1,195.02 × 471.06
  4. Step 4: Simplify right side
    795.47x = 562,926.12
  5. Step 5: Solve for x
    x = 562,926.12/795.47
  6. Step 6: Final answer
    x = 707.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.