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Finding the Fourth Proportional to 1,032.19, 1,424.47 and 658.87

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Solution

The fourth proportional to 1,032.19, 1,424.47 and 658.87 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.19 : 1,424.47 = 658.87 : x
  2. Step 2: Convert to fraction form
    1,032.19/1,424.47 = 658.87/x
  3. Step 3: Cross multiply
    1,032.19x = 1,424.47 × 658.87
  4. Step 4: Simplify right side
    1,032.19x = 938,533.43
  5. Step 5: Solve for x
    x = 938,533.43/1,032.19
  6. Step 6: Final answer
    x = 909.27

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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.