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Finding the Fourth Proportional to 1,417.07, 1,955.68 and 787.72

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Solution

The fourth proportional to 1,417.07, 1,955.68 and 787.72 is: 1,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.07 : 1,955.68 = 787.72 : x
  2. Step 2: Convert to fraction form
    1,417.07/1,955.68 = 787.72/x
  3. Step 3: Cross multiply
    1,417.07x = 1,955.68 × 787.72
  4. Step 4: Simplify right side
    1,417.07x = 1,540,535.23
  5. Step 5: Solve for x
    x = 1,540,535.23/1,417.07
  6. Step 6: Final answer
    x = 1,087.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.