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Finding the Fourth Proportional to 1,312.41, 1,966.95 and 617.57

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Solution

The fourth proportional to 1,312.41, 1,966.95 and 617.57 is: 925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.41 : 1,966.95 = 617.57 : x
  2. Step 2: Convert to fraction form
    1,312.41/1,966.95 = 617.57/x
  3. Step 3: Cross multiply
    1,312.41x = 1,966.95 × 617.57
  4. Step 4: Simplify right side
    1,312.41x = 1,214,719.48
  5. Step 5: Solve for x
    x = 1,214,719.48/1,312.41
  6. Step 6: Final answer
    x = 925.56

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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.