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Finding the Fourth Proportional to 1,117.02, 1,541.82 and 724.08

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Solution

The fourth proportional to 1,117.02, 1,541.82 and 724.08 is: 999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,541.82 = 724.08 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,541.82 = 724.08/x
  3. Step 3: Cross multiply
    1,117.02x = 1,541.82 × 724.08
  4. Step 4: Simplify right side
    1,117.02x = 1,116,401.03
  5. Step 5: Solve for x
    x = 1,116,401.03/1,117.02
  6. Step 6: Final answer
    x = 999.45

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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.