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Finding the Fourth Proportional to 1,156.98, 1,735.47 and 473.46

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Solution

The fourth proportional to 1,156.98, 1,735.47 and 473.46 is: 710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.98 : 1,735.47 = 473.46 : x
  2. Step 2: Convert to fraction form
    1,156.98/1,735.47 = 473.46/x
  3. Step 3: Cross multiply
    1,156.98x = 1,735.47 × 473.46
  4. Step 4: Simplify right side
    1,156.98x = 821,675.63
  5. Step 5: Solve for x
    x = 821,675.63/1,156.98
  6. Step 6: Final answer
    x = 710.19

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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.