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Finding the Fourth Proportional to 870.85, 1,304.43 and 561.61

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Solution

The fourth proportional to 870.85, 1,304.43 and 561.61 is: 841.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.85 : 1,304.43 = 561.61 : x
  2. Step 2: Convert to fraction form
    870.85/1,304.43 = 561.61/x
  3. Step 3: Cross multiply
    870.85x = 1,304.43 × 561.61
  4. Step 4: Simplify right side
    870.85x = 732,580.93
  5. Step 5: Solve for x
    x = 732,580.93/870.85
  6. Step 6: Final answer
    x = 841.23

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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.