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Finding the Fourth Proportional to 1,064.79, 1,468.91 and 710.62

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Solution

The fourth proportional to 1,064.79, 1,468.91 and 710.62 is: 980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.79 : 1,468.91 = 710.62 : x
  2. Step 2: Convert to fraction form
    1,064.79/1,468.91 = 710.62/x
  3. Step 3: Cross multiply
    1,064.79x = 1,468.91 × 710.62
  4. Step 4: Simplify right side
    1,064.79x = 1,043,834.93
  5. Step 5: Solve for x
    x = 1,043,834.93/1,064.79
  6. Step 6: Final answer
    x = 980.32

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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.