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Finding the Fourth Proportional to 926.76, 1,280.04 and 705.60

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Solution

The fourth proportional to 926.76, 1,280.04 and 705.60 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,280.04 = 705.60 : x
  2. Step 2: Convert to fraction form
    926.76/1,280.04 = 705.60/x
  3. Step 3: Cross multiply
    926.76x = 1,280.04 × 705.60
  4. Step 4: Simplify right side
    926.76x = 903,196.22
  5. Step 5: Solve for x
    x = 903,196.22/926.76
  6. Step 6: Final answer
    x = 974.57

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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.