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Finding the Fourth Proportional to 1,017.34, 1,526.10 and 286.93

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Solution

The fourth proportional to 1,017.34, 1,526.10 and 286.93 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.34 : 1,526.10 = 286.93 : x
  2. Step 2: Convert to fraction form
    1,017.34/1,526.10 = 286.93/x
  3. Step 3: Cross multiply
    1,017.34x = 1,526.10 × 286.93
  4. Step 4: Simplify right side
    1,017.34x = 437,883.87
  5. Step 5: Solve for x
    x = 437,883.87/1,017.34
  6. Step 6: Final answer
    x = 430.42

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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.