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Finding the Fourth Proportional to 804.02, 1,210.37 and 562.23

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Solution

The fourth proportional to 804.02, 1,210.37 and 562.23 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.02 : 1,210.37 = 562.23 : x
  2. Step 2: Convert to fraction form
    804.02/1,210.37 = 562.23/x
  3. Step 3: Cross multiply
    804.02x = 1,210.37 × 562.23
  4. Step 4: Simplify right side
    804.02x = 680,503.51
  5. Step 5: Solve for x
    x = 680,503.51/804.02
  6. Step 6: Final answer
    x = 846.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.