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Finding the Fourth Proportional to 870.66, 1,305.36 and 438.12

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Solution

The fourth proportional to 870.66, 1,305.36 and 438.12 is: 656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.66 : 1,305.36 = 438.12 : x
  2. Step 2: Convert to fraction form
    870.66/1,305.36 = 438.12/x
  3. Step 3: Cross multiply
    870.66x = 1,305.36 × 438.12
  4. Step 4: Simplify right side
    870.66x = 571,904.32
  5. Step 5: Solve for x
    x = 571,904.32/870.66
  6. Step 6: Final answer
    x = 656.86

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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.