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Finding the Fourth Proportional to 1,156.09, 1,594.80 and 783.21

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Solution

The fourth proportional to 1,156.09, 1,594.80 and 783.21 is: 1,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.09 : 1,594.80 = 783.21 : x
  2. Step 2: Convert to fraction form
    1,156.09/1,594.80 = 783.21/x
  3. Step 3: Cross multiply
    1,156.09x = 1,594.80 × 783.21
  4. Step 4: Simplify right side
    1,156.09x = 1,249,063.31
  5. Step 5: Solve for x
    x = 1,249,063.31/1,156.09
  6. Step 6: Final answer
    x = 1,080.42

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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.