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Finding the Fourth Proportional to 1,735.77, 2,603.64 and 503.17

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Solution

The fourth proportional to 1,735.77, 2,603.64 and 503.17 is: 754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.77 : 2,603.64 = 503.17 : x
  2. Step 2: Convert to fraction form
    1,735.77/2,603.64 = 503.17/x
  3. Step 3: Cross multiply
    1,735.77x = 2,603.64 × 503.17
  4. Step 4: Simplify right side
    1,735.77x = 1,310,071.02
  5. Step 5: Solve for x
    x = 1,310,071.02/1,735.77
  6. Step 6: Final answer
    x = 754.75

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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.