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Finding the Fourth Proportional to 652.48, 901.20 and 569.32

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Solution

The fourth proportional to 652.48, 901.20 and 569.32 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 901.20 = 569.32 : x
  2. Step 2: Convert to fraction form
    652.48/901.20 = 569.32/x
  3. Step 3: Cross multiply
    652.48x = 901.20 × 569.32
  4. Step 4: Simplify right side
    652.48x = 513,071.18
  5. Step 5: Solve for x
    x = 513,071.18/652.48
  6. Step 6: Final answer
    x = 786.34

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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.