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Finding the Fourth Proportional to 1,089.34, 1,631.10 and 868.93

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Solution

The fourth proportional to 1,089.34, 1,631.10 and 868.93 is: 1,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.34 : 1,631.10 = 868.93 : x
  2. Step 2: Convert to fraction form
    1,089.34/1,631.10 = 868.93/x
  3. Step 3: Cross multiply
    1,089.34x = 1,631.10 × 868.93
  4. Step 4: Simplify right side
    1,089.34x = 1,417,307.24
  5. Step 5: Solve for x
    x = 1,417,307.24/1,089.34
  6. Step 6: Final answer
    x = 1,301.07

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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.