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Finding the Fourth Proportional to 1,435.08, 1,978.98 and 911.40

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Solution

The fourth proportional to 1,435.08, 1,978.98 and 911.40 is: 1,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.08 : 1,978.98 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,435.08/1,978.98 = 911.40/x
  3. Step 3: Cross multiply
    1,435.08x = 1,978.98 × 911.40
  4. Step 4: Simplify right side
    1,435.08x = 1,803,642.37
  5. Step 5: Solve for x
    x = 1,803,642.37/1,435.08
  6. Step 6: Final answer
    x = 1,256.82

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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.