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Finding the Fourth Proportional to 1,180.16, 1,628.88 and 715.04

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Solution

The fourth proportional to 1,180.16, 1,628.88 and 715.04 is: 986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.16 : 1,628.88 = 715.04 : x
  2. Step 2: Convert to fraction form
    1,180.16/1,628.88 = 715.04/x
  3. Step 3: Cross multiply
    1,180.16x = 1,628.88 × 715.04
  4. Step 4: Simplify right side
    1,180.16x = 1,164,714.36
  5. Step 5: Solve for x
    x = 1,164,714.36/1,180.16
  6. Step 6: Final answer
    x = 986.91

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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.