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Finding the Fourth Proportional to 870.46, 1,306.06 and 459.50

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Solution

The fourth proportional to 870.46, 1,306.06 and 459.50 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.46 : 1,306.06 = 459.50 : x
  2. Step 2: Convert to fraction form
    870.46/1,306.06 = 459.50/x
  3. Step 3: Cross multiply
    870.46x = 1,306.06 × 459.50
  4. Step 4: Simplify right side
    870.46x = 600,134.57
  5. Step 5: Solve for x
    x = 600,134.57/870.46
  6. Step 6: Final answer
    x = 689.45

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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.