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Finding the Fourth Proportional to 1,190.40, 1,643.29 and 924.16

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Solution

The fourth proportional to 1,190.40, 1,643.29 and 924.16 is: 1,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.40 : 1,643.29 = 924.16 : x
  2. Step 2: Convert to fraction form
    1,190.40/1,643.29 = 924.16/x
  3. Step 3: Cross multiply
    1,190.40x = 1,643.29 × 924.16
  4. Step 4: Simplify right side
    1,190.40x = 1,518,659.55
  5. Step 5: Solve for x
    x = 1,518,659.55/1,190.40
  6. Step 6: Final answer
    x = 1,275.76

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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.