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Finding the Fourth Proportional to 870.30, 1,306.06 and 383.69

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Solution

The fourth proportional to 870.30, 1,306.06 and 383.69 is: 575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.30 : 1,306.06 = 383.69 : x
  2. Step 2: Convert to fraction form
    870.30/1,306.06 = 383.69/x
  3. Step 3: Cross multiply
    870.30x = 1,306.06 × 383.69
  4. Step 4: Simplify right side
    870.30x = 501,124.47
  5. Step 5: Solve for x
    x = 501,124.47/870.30
  6. Step 6: Final answer
    x = 575.81

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