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Finding the Fourth Proportional to 654.04, 975.29 and 563.32

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Solution

The fourth proportional to 654.04, 975.29 and 563.32 is: 840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 975.29 = 563.32 : x
  2. Step 2: Convert to fraction form
    654.04/975.29 = 563.32/x
  3. Step 3: Cross multiply
    654.04x = 975.29 × 563.32
  4. Step 4: Simplify right side
    654.04x = 549,400.36
  5. Step 5: Solve for x
    x = 549,400.36/654.04
  6. Step 6: Final answer
    x = 840.01

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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.