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Finding the Fourth Proportional to 1,017.57, 1,526.19 and 400.83

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Solution

The fourth proportional to 1,017.57, 1,526.19 and 400.83 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.57 : 1,526.19 = 400.83 : x
  2. Step 2: Convert to fraction form
    1,017.57/1,526.19 = 400.83/x
  3. Step 3: Cross multiply
    1,017.57x = 1,526.19 × 400.83
  4. Step 4: Simplify right side
    1,017.57x = 611,742.74
  5. Step 5: Solve for x
    x = 611,742.74/1,017.57
  6. Step 6: Final answer
    x = 601.18

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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.