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Finding the Fourth Proportional to 646.47, 965.01 and 598.28

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Solution

The fourth proportional to 646.47, 965.01 and 598.28 is: 893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.47 : 965.01 = 598.28 : x
  2. Step 2: Convert to fraction form
    646.47/965.01 = 598.28/x
  3. Step 3: Cross multiply
    646.47x = 965.01 × 598.28
  4. Step 4: Simplify right side
    646.47x = 577,343.19
  5. Step 5: Solve for x
    x = 577,343.19/646.47
  6. Step 6: Final answer
    x = 893.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.