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Finding the Fourth Proportional to 1,164.29, 1,746.63 and 616.95

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Solution

The fourth proportional to 1,164.29, 1,746.63 and 616.95 is: 925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.29 : 1,746.63 = 616.95 : x
  2. Step 2: Convert to fraction form
    1,164.29/1,746.63 = 616.95/x
  3. Step 3: Cross multiply
    1,164.29x = 1,746.63 × 616.95
  4. Step 4: Simplify right side
    1,164.29x = 1,077,583.38
  5. Step 5: Solve for x
    x = 1,077,583.38/1,164.29
  6. Step 6: Final answer
    x = 925.53

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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.