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Finding the Fourth Proportional to 925.77, 1,277.34 and 589.56

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Solution

The fourth proportional to 925.77, 1,277.34 and 589.56 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.77 : 1,277.34 = 589.56 : x
  2. Step 2: Convert to fraction form
    925.77/1,277.34 = 589.56/x
  3. Step 3: Cross multiply
    925.77x = 1,277.34 × 589.56
  4. Step 4: Simplify right side
    925.77x = 753,068.57
  5. Step 5: Solve for x
    x = 753,068.57/925.77
  6. Step 6: Final answer
    x = 813.45

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Double scale
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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.