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Finding the Fourth Proportional to 710.40, 1,064.12 and 594.51

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Solution

The fourth proportional to 710.40, 1,064.12 and 594.51 is: 890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,064.12 = 594.51 : x
  2. Step 2: Convert to fraction form
    710.40/1,064.12 = 594.51/x
  3. Step 3: Cross multiply
    710.40x = 1,064.12 × 594.51
  4. Step 4: Simplify right side
    710.40x = 632,627.01
  5. Step 5: Solve for x
    x = 632,627.01/710.40
  6. Step 6: Final answer
    x = 890.52

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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.