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Finding the Fourth Proportional to 1,026.48, 1,416.16 and 895.24

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Solution

The fourth proportional to 1,026.48, 1,416.16 and 895.24 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.48 : 1,416.16 = 895.24 : x
  2. Step 2: Convert to fraction form
    1,026.48/1,416.16 = 895.24/x
  3. Step 3: Cross multiply
    1,026.48x = 1,416.16 × 895.24
  4. Step 4: Simplify right side
    1,026.48x = 1,267,803.08
  5. Step 5: Solve for x
    x = 1,267,803.08/1,026.48
  6. Step 6: Final answer
    x = 1,235.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.