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Finding the Fourth Proportional to 1,030.40, 1,420.80 and 808.32

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Solution

The fourth proportional to 1,030.40, 1,420.80 and 808.32 is: 1,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.40 : 1,420.80 = 808.32 : x
  2. Step 2: Convert to fraction form
    1,030.40/1,420.80 = 808.32/x
  3. Step 3: Cross multiply
    1,030.40x = 1,420.80 × 808.32
  4. Step 4: Simplify right side
    1,030.40x = 1,148,461.06
  5. Step 5: Solve for x
    x = 1,148,461.06/1,030.40
  6. Step 6: Final answer
    x = 1,114.58

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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.