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Finding the Fourth Proportional to 925.07, 1,386.69 and 595.81

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Solution

The fourth proportional to 925.07, 1,386.69 and 595.81 is: 893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.07 : 1,386.69 = 595.81 : x
  2. Step 2: Convert to fraction form
    925.07/1,386.69 = 595.81/x
  3. Step 3: Cross multiply
    925.07x = 1,386.69 × 595.81
  4. Step 4: Simplify right side
    925.07x = 826,196.84
  5. Step 5: Solve for x
    x = 826,196.84/925.07
  6. Step 6: Final answer
    x = 893.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.