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Finding the Fourth Proportional to 1,137.51, 1,705.93 and 315.57

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Solution

The fourth proportional to 1,137.51, 1,705.93 and 315.57 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.51 : 1,705.93 = 315.57 : x
  2. Step 2: Convert to fraction form
    1,137.51/1,705.93 = 315.57/x
  3. Step 3: Cross multiply
    1,137.51x = 1,705.93 × 315.57
  4. Step 4: Simplify right side
    1,137.51x = 538,330.22
  5. Step 5: Solve for x
    x = 538,330.22/1,137.51
  6. Step 6: Final answer
    x = 473.25

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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.