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Finding the Fourth Proportional to 1,017.54, 1,526.28 and 880.18

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Solution

The fourth proportional to 1,017.54, 1,526.28 and 880.18 is: 1,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.54 : 1,526.28 = 880.18 : x
  2. Step 2: Convert to fraction form
    1,017.54/1,526.28 = 880.18/x
  3. Step 3: Cross multiply
    1,017.54x = 1,526.28 × 880.18
  4. Step 4: Simplify right side
    1,017.54x = 1,343,401.13
  5. Step 5: Solve for x
    x = 1,343,401.13/1,017.54
  6. Step 6: Final answer
    x = 1,320.24

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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.