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Finding the Fourth Proportional to 1,018.98, 1,528.47 and 653.40

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Solution

The fourth proportional to 1,018.98, 1,528.47 and 653.40 is: 980.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.98 : 1,528.47 = 653.40 : x
  2. Step 2: Convert to fraction form
    1,018.98/1,528.47 = 653.40/x
  3. Step 3: Cross multiply
    1,018.98x = 1,528.47 × 653.40
  4. Step 4: Simplify right side
    1,018.98x = 998,702.30
  5. Step 5: Solve for x
    x = 998,702.30/1,018.98
  6. Step 6: Final answer
    x = 980.10

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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.