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Finding the Fourth Proportional to 1,017.58, 1,526.36 and 287.15

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Solution

The fourth proportional to 1,017.58, 1,526.36 and 287.15 is: 430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.58 : 1,526.36 = 287.15 : x
  2. Step 2: Convert to fraction form
    1,017.58/1,526.36 = 287.15/x
  3. Step 3: Cross multiply
    1,017.58x = 1,526.36 × 287.15
  4. Step 4: Simplify right side
    1,017.58x = 438,294.27
  5. Step 5: Solve for x
    x = 438,294.27/1,017.58
  6. Step 6: Final answer
    x = 430.72

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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.