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Finding the Fourth Proportional to 1,032.17, 1,424.04 and 589.76

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Solution

The fourth proportional to 1,032.17, 1,424.04 and 589.76 is: 813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.17 : 1,424.04 = 589.76 : x
  2. Step 2: Convert to fraction form
    1,032.17/1,424.04 = 589.76/x
  3. Step 3: Cross multiply
    1,032.17x = 1,424.04 × 589.76
  4. Step 4: Simplify right side
    1,032.17x = 839,834.71
  5. Step 5: Solve for x
    x = 839,834.71/1,032.17
  6. Step 6: Final answer
    x = 813.66

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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.