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Finding the Fourth Proportional to 1,017.05, 1,526.47 and 497.44

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Solution

The fourth proportional to 1,017.05, 1,526.47 and 497.44 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.05 : 1,526.47 = 497.44 : x
  2. Step 2: Convert to fraction form
    1,017.05/1,526.47 = 497.44/x
  3. Step 3: Cross multiply
    1,017.05x = 1,526.47 × 497.44
  4. Step 4: Simplify right side
    1,017.05x = 759,327.24
  5. Step 5: Solve for x
    x = 759,327.24/1,017.05
  6. Step 6: Final answer
    x = 746.60

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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.