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Finding the Fourth Proportional to 1,117.43, 1,541.54 and 697.51

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Solution

The fourth proportional to 1,117.43, 1,541.54 and 697.51 is: 962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.43 : 1,541.54 = 697.51 : x
  2. Step 2: Convert to fraction form
    1,117.43/1,541.54 = 697.51/x
  3. Step 3: Cross multiply
    1,117.43x = 1,541.54 × 697.51
  4. Step 4: Simplify right side
    1,117.43x = 1,075,236.08
  5. Step 5: Solve for x
    x = 1,075,236.08/1,117.43
  6. Step 6: Final answer
    x = 962.24

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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.