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Finding the Fourth Proportional to 1,017.78, 1,526.51 and 287.19

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Solution

The fourth proportional to 1,017.78, 1,526.51 and 287.19 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.78 : 1,526.51 = 287.19 : x
  2. Step 2: Convert to fraction form
    1,017.78/1,526.51 = 287.19/x
  3. Step 3: Cross multiply
    1,017.78x = 1,526.51 × 287.19
  4. Step 4: Simplify right side
    1,017.78x = 438,398.41
  5. Step 5: Solve for x
    x = 438,398.41/1,017.78
  6. Step 6: Final answer
    x = 430.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.