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Finding the Fourth Proportional to 925.16, 1,277.36 and 712.10

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Solution

The fourth proportional to 925.16, 1,277.36 and 712.10 is: 983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.16 : 1,277.36 = 712.10 : x
  2. Step 2: Convert to fraction form
    925.16/1,277.36 = 712.10/x
  3. Step 3: Cross multiply
    925.16x = 1,277.36 × 712.10
  4. Step 4: Simplify right side
    925.16x = 909,598.11
  5. Step 5: Solve for x
    x = 909,598.11/925.16
  6. Step 6: Final answer
    x = 983.18

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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.