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Finding the Fourth Proportional to 1,054.57, 1,582.83 and 534.94

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Solution

The fourth proportional to 1,054.57, 1,582.83 and 534.94 is: 802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.57 : 1,582.83 = 534.94 : x
  2. Step 2: Convert to fraction form
    1,054.57/1,582.83 = 534.94/x
  3. Step 3: Cross multiply
    1,054.57x = 1,582.83 × 534.94
  4. Step 4: Simplify right side
    1,054.57x = 846,719.08
  5. Step 5: Solve for x
    x = 846,719.08/1,054.57
  6. Step 6: Final answer
    x = 802.90

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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.