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Finding the Fourth Proportional to 870.64, 1,305.65 and 541.07

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Solution

The fourth proportional to 870.64, 1,305.65 and 541.07 is: 811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.64 : 1,305.65 = 541.07 : x
  2. Step 2: Convert to fraction form
    870.64/1,305.65 = 541.07/x
  3. Step 3: Cross multiply
    870.64x = 1,305.65 × 541.07
  4. Step 4: Simplify right side
    870.64x = 706,447.77
  5. Step 5: Solve for x
    x = 706,447.77/870.64
  6. Step 6: Final answer
    x = 811.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.