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Finding the Fourth Proportional to 1,188.95, 1,641.56 and 741.00

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Solution

The fourth proportional to 1,188.95, 1,641.56 and 741.00 is: 1,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.95 : 1,641.56 = 741.00 : x
  2. Step 2: Convert to fraction form
    1,188.95/1,641.56 = 741.00/x
  3. Step 3: Cross multiply
    1,188.95x = 1,641.56 × 741.00
  4. Step 4: Simplify right side
    1,188.95x = 1,216,389.18
  5. Step 5: Solve for x
    x = 1,216,389.18/1,188.95
  6. Step 6: Final answer
    x = 1,023.08

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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.