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Finding the Fourth Proportional to 1,117.36, 1,541.86 and 697.76

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Solution

The fourth proportional to 1,117.36, 1,541.86 and 697.76 is: 962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.36 : 1,541.86 = 697.76 : x
  2. Step 2: Convert to fraction form
    1,117.36/1,541.86 = 697.76/x
  3. Step 3: Cross multiply
    1,117.36x = 1,541.86 × 697.76
  4. Step 4: Simplify right side
    1,117.36x = 1,075,848.23
  5. Step 5: Solve for x
    x = 1,075,848.23/1,117.36
  6. Step 6: Final answer
    x = 962.85

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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.