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Finding the Fourth Proportional to 1,420.07, 1,959.71 and 790.63

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Solution

The fourth proportional to 1,420.07, 1,959.71 and 790.63 is: 1,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.07 : 1,959.71 = 790.63 : x
  2. Step 2: Convert to fraction form
    1,420.07/1,959.71 = 790.63/x
  3. Step 3: Cross multiply
    1,420.07x = 1,959.71 × 790.63
  4. Step 4: Simplify right side
    1,420.07x = 1,549,401.11
  5. Step 5: Solve for x
    x = 1,549,401.11/1,420.07
  6. Step 6: Final answer
    x = 1,091.07

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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.