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Finding the Fourth Proportional to 1,164.93, 1,747.47 and 471.59

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Solution

The fourth proportional to 1,164.93, 1,747.47 and 471.59 is: 707.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.93 : 1,747.47 = 471.59 : x
  2. Step 2: Convert to fraction form
    1,164.93/1,747.47 = 471.59/x
  3. Step 3: Cross multiply
    1,164.93x = 1,747.47 × 471.59
  4. Step 4: Simplify right side
    1,164.93x = 824,078.87
  5. Step 5: Solve for x
    x = 824,078.87/1,164.93
  6. Step 6: Final answer
    x = 707.40

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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.