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Finding the Fourth Proportional to 761.83, 1,051.24 and 430.22

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Solution

The fourth proportional to 761.83, 1,051.24 and 430.22 is: 593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.83 : 1,051.24 = 430.22 : x
  2. Step 2: Convert to fraction form
    761.83/1,051.24 = 430.22/x
  3. Step 3: Cross multiply
    761.83x = 1,051.24 × 430.22
  4. Step 4: Simplify right side
    761.83x = 452,264.47
  5. Step 5: Solve for x
    x = 452,264.47/761.83
  6. Step 6: Final answer
    x = 593.66

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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.