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Finding the Fourth Proportional to 923.51, 1,386.05 and 403.93

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Solution

The fourth proportional to 923.51, 1,386.05 and 403.93 is: 606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.51 : 1,386.05 = 403.93 : x
  2. Step 2: Convert to fraction form
    923.51/1,386.05 = 403.93/x
  3. Step 3: Cross multiply
    923.51x = 1,386.05 × 403.93
  4. Step 4: Simplify right side
    923.51x = 559,869.92
  5. Step 5: Solve for x
    x = 559,869.92/923.51
  6. Step 6: Final answer
    x = 606.24

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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.