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Finding the Fourth Proportional to 1,018.24, 1,525.74 and 585.70

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Solution

The fourth proportional to 1,018.24, 1,525.74 and 585.70 is: 877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.24 : 1,525.74 = 585.70 : x
  2. Step 2: Convert to fraction form
    1,018.24/1,525.74 = 585.70/x
  3. Step 3: Cross multiply
    1,018.24x = 1,525.74 × 585.70
  4. Step 4: Simplify right side
    1,018.24x = 893,625.92
  5. Step 5: Solve for x
    x = 893,625.92/1,018.24
  6. Step 6: Final answer
    x = 877.62

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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.