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Finding the Fourth Proportional to 1,440.54, 1,988.55 and 975.06

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Solution

The fourth proportional to 1,440.54, 1,988.55 and 975.06 is: 1,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.54 : 1,988.55 = 975.06 : x
  2. Step 2: Convert to fraction form
    1,440.54/1,988.55 = 975.06/x
  3. Step 3: Cross multiply
    1,440.54x = 1,988.55 × 975.06
  4. Step 4: Simplify right side
    1,440.54x = 1,938,955.56
  5. Step 5: Solve for x
    x = 1,938,955.56/1,440.54
  6. Step 6: Final answer
    x = 1,345.99

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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.