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Finding the Fourth Proportional to 1,735.04, 2,602.57 and 436.51

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Solution

The fourth proportional to 1,735.04, 2,602.57 and 436.51 is: 654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.04 : 2,602.57 = 436.51 : x
  2. Step 2: Convert to fraction form
    1,735.04/2,602.57 = 436.51/x
  3. Step 3: Cross multiply
    1,735.04x = 2,602.57 × 436.51
  4. Step 4: Simplify right side
    1,735.04x = 1,136,047.83
  5. Step 5: Solve for x
    x = 1,136,047.83/1,735.04
  6. Step 6: Final answer
    x = 654.77

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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.