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Finding the Fourth Proportional to 774.23, 1,068.40 and 424.89

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Solution

The fourth proportional to 774.23, 1,068.40 and 424.89 is: 586.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.23 : 1,068.40 = 424.89 : x
  2. Step 2: Convert to fraction form
    774.23/1,068.40 = 424.89/x
  3. Step 3: Cross multiply
    774.23x = 1,068.40 × 424.89
  4. Step 4: Simplify right side
    774.23x = 453,950.35
  5. Step 5: Solve for x
    x = 453,950.35/774.23
  6. Step 6: Final answer
    x = 586.32

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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.