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Finding the Fourth Proportional to 1,018.62, 1,534.34 and 957.12

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Solution

The fourth proportional to 1,018.62, 1,534.34 and 957.12 is: 1,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.62 : 1,534.34 = 957.12 : x
  2. Step 2: Convert to fraction form
    1,018.62/1,534.34 = 957.12/x
  3. Step 3: Cross multiply
    1,018.62x = 1,534.34 × 957.12
  4. Step 4: Simplify right side
    1,018.62x = 1,468,547.50
  5. Step 5: Solve for x
    x = 1,468,547.50/1,018.62
  6. Step 6: Final answer
    x = 1,441.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.