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Finding the Fourth Proportional to 1,030.75, 1,422.44 and 565

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Solution

The fourth proportional to 1,030.75, 1,422.44 and 565 is: 779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.75 : 1,422.44 = 565 : x
  2. Step 2: Convert to fraction form
    1,030.75/1,422.44 = 565/x
  3. Step 3: Cross multiply
    1,030.75x = 1,422.44 × 565
  4. Step 4: Simplify right side
    1,030.75x = 803,678.60
  5. Step 5: Solve for x
    x = 803,678.60/1,030.75
  6. Step 6: Final answer
    x = 779.70

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1.5x scale

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.