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Finding the Fourth Proportional to 1,237.47, 1,707.09 and 817.38

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Solution

The fourth proportional to 1,237.47, 1,707.09 and 817.38 is: 1,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.47 : 1,707.09 = 817.38 : x
  2. Step 2: Convert to fraction form
    1,237.47/1,707.09 = 817.38/x
  3. Step 3: Cross multiply
    1,237.47x = 1,707.09 × 817.38
  4. Step 4: Simplify right side
    1,237.47x = 1,395,341.22
  5. Step 5: Solve for x
    x = 1,395,341.22/1,237.47
  6. Step 6: Final answer
    x = 1,127.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.