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Finding the Fourth Proportional to 1,070.30, 1,602.54 and 556.22

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Solution

The fourth proportional to 1,070.30, 1,602.54 and 556.22 is: 832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.30 : 1,602.54 = 556.22 : x
  2. Step 2: Convert to fraction form
    1,070.30/1,602.54 = 556.22/x
  3. Step 3: Cross multiply
    1,070.30x = 1,602.54 × 556.22
  4. Step 4: Simplify right side
    1,070.30x = 891,364.80
  5. Step 5: Solve for x
    x = 891,364.80/1,070.30
  6. Step 6: Final answer
    x = 832.82

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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.