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Finding the Fourth Proportional to 1,164.73, 1,746.51 and 373.98

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Solution

The fourth proportional to 1,164.73, 1,746.51 and 373.98 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.73 : 1,746.51 = 373.98 : x
  2. Step 2: Convert to fraction form
    1,164.73/1,746.51 = 373.98/x
  3. Step 3: Cross multiply
    1,164.73x = 1,746.51 × 373.98
  4. Step 4: Simplify right side
    1,164.73x = 653,167.06
  5. Step 5: Solve for x
    x = 653,167.06/1,164.73
  6. Step 6: Final answer
    x = 560.79

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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.