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Finding the Fourth Proportional to 929.67, 1,386.19 and 904.15

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Solution

The fourth proportional to 929.67, 1,386.19 and 904.15 is: 1,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.67 : 1,386.19 = 904.15 : x
  2. Step 2: Convert to fraction form
    929.67/1,386.19 = 904.15/x
  3. Step 3: Cross multiply
    929.67x = 1,386.19 × 904.15
  4. Step 4: Simplify right side
    929.67x = 1,253,323.69
  5. Step 5: Solve for x
    x = 1,253,323.69/929.67
  6. Step 6: Final answer
    x = 1,348.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.