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Finding the Fourth Proportional to 870.24, 1,304.74 and 407.77

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Solution

The fourth proportional to 870.24, 1,304.74 and 407.77 is: 611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.24 : 1,304.74 = 407.77 : x
  2. Step 2: Convert to fraction form
    870.24/1,304.74 = 407.77/x
  3. Step 3: Cross multiply
    870.24x = 1,304.74 × 407.77
  4. Step 4: Simplify right side
    870.24x = 532,027.31
  5. Step 5: Solve for x
    x = 532,027.31/870.24
  6. Step 6: Final answer
    x = 611.36

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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.