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Finding the Fourth Proportional to 1,132, 1,564.10 and 935.16

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Solution

The fourth proportional to 1,132, 1,564.10 and 935.16 is: 1,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132 : 1,564.10 = 935.16 : x
  2. Step 2: Convert to fraction form
    1,132/1,564.10 = 935.16/x
  3. Step 3: Cross multiply
    1,132x = 1,564.10 × 935.16
  4. Step 4: Simplify right side
    1,132x = 1,462,683.76
  5. Step 5: Solve for x
    x = 1,462,683.76/1,132
  6. Step 6: Final answer
    x = 1,292.12

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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.