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Finding the Fourth Proportional to 1,088.46, 1,500.75 and 948.06

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Solution

The fourth proportional to 1,088.46, 1,500.75 and 948.06 is: 1,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.46 : 1,500.75 = 948.06 : x
  2. Step 2: Convert to fraction form
    1,088.46/1,500.75 = 948.06/x
  3. Step 3: Cross multiply
    1,088.46x = 1,500.75 × 948.06
  4. Step 4: Simplify right side
    1,088.46x = 1,422,801.05
  5. Step 5: Solve for x
    x = 1,422,801.05/1,088.46
  6. Step 6: Final answer
    x = 1,307.17

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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.