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Finding the Fourth Proportional to 730.58, 1,006.74 and 530.73

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Solution

The fourth proportional to 730.58, 1,006.74 and 530.73 is: 731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.58 : 1,006.74 = 530.73 : x
  2. Step 2: Convert to fraction form
    730.58/1,006.74 = 530.73/x
  3. Step 3: Cross multiply
    730.58x = 1,006.74 × 530.73
  4. Step 4: Simplify right side
    730.58x = 534,307.12
  5. Step 5: Solve for x
    x = 534,307.12/730.58
  6. Step 6: Final answer
    x = 731.35

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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.