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Finding the Fourth Proportional to 1,178.53, 1,626.40 and 647.47

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Solution

The fourth proportional to 1,178.53, 1,626.40 and 647.47 is: 893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.53 : 1,626.40 = 647.47 : x
  2. Step 2: Convert to fraction form
    1,178.53/1,626.40 = 647.47/x
  3. Step 3: Cross multiply
    1,178.53x = 1,626.40 × 647.47
  4. Step 4: Simplify right side
    1,178.53x = 1,053,045.21
  5. Step 5: Solve for x
    x = 1,053,045.21/1,178.53
  6. Step 6: Final answer
    x = 893.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.