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Finding the Fourth Proportional to 1,237.47, 1,708.86 and 987.99

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Solution

The fourth proportional to 1,237.47, 1,708.86 and 987.99 is: 1,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.47 : 1,708.86 = 987.99 : x
  2. Step 2: Convert to fraction form
    1,237.47/1,708.86 = 987.99/x
  3. Step 3: Cross multiply
    1,237.47x = 1,708.86 × 987.99
  4. Step 4: Simplify right side
    1,237.47x = 1,688,336.59
  5. Step 5: Solve for x
    x = 1,688,336.59/1,237.47
  6. Step 6: Final answer
    x = 1,364.35

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