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Finding the Fourth Proportional to 871, 1,307.16 and 460.08

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Solution

The fourth proportional to 871, 1,307.16 and 460.08 is: 690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    871 : 1,307.16 = 460.08 : x
  2. Step 2: Convert to fraction form
    871/1,307.16 = 460.08/x
  3. Step 3: Cross multiply
    871x = 1,307.16 × 460.08
  4. Step 4: Simplify right side
    871x = 601,398.17
  5. Step 5: Solve for x
    x = 601,398.17/871
  6. Step 6: Final answer
    x = 690.47

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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.