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Finding the Fourth Proportional to 1,035.62, 1,545.44 and 924.75

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Solution

The fourth proportional to 1,035.62, 1,545.44 and 924.75 is: 1,379.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.62 : 1,545.44 = 924.75 : x
  2. Step 2: Convert to fraction form
    1,035.62/1,545.44 = 924.75/x
  3. Step 3: Cross multiply
    1,035.62x = 1,545.44 × 924.75
  4. Step 4: Simplify right side
    1,035.62x = 1,429,141.02
  5. Step 5: Solve for x
    x = 1,429,141.02/1,035.62
  6. Step 6: Final answer
    x = 1,379.99

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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.