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Finding the Fourth Proportional to 871.61, 1,307.84 and 384.71

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Solution

The fourth proportional to 871.61, 1,307.84 and 384.71 is: 577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.61 : 1,307.84 = 384.71 : x
  2. Step 2: Convert to fraction form
    871.61/1,307.84 = 384.71/x
  3. Step 3: Cross multiply
    871.61x = 1,307.84 × 384.71
  4. Step 4: Simplify right side
    871.61x = 503,130.66
  5. Step 5: Solve for x
    x = 503,130.66/871.61
  6. Step 6: Final answer
    x = 577.25

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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.