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Finding the Fourth Proportional to 1,116.66, 1,541.58 and 697.38

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Solution

The fourth proportional to 1,116.66, 1,541.58 and 697.38 is: 962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.66 : 1,541.58 = 697.38 : x
  2. Step 2: Convert to fraction form
    1,116.66/1,541.58 = 697.38/x
  3. Step 3: Cross multiply
    1,116.66x = 1,541.58 × 697.38
  4. Step 4: Simplify right side
    1,116.66x = 1,075,067.06
  5. Step 5: Solve for x
    x = 1,075,067.06/1,116.66
  6. Step 6: Final answer
    x = 962.75

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1.5x scale

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.