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Finding the Fourth Proportional to 946.34, 1,417.86 and 774.08

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Solution

The fourth proportional to 946.34, 1,417.86 and 774.08 is: 1,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.34 : 1,417.86 = 774.08 : x
  2. Step 2: Convert to fraction form
    946.34/1,417.86 = 774.08/x
  3. Step 3: Cross multiply
    946.34x = 1,417.86 × 774.08
  4. Step 4: Simplify right side
    946.34x = 1,097,537.07
  5. Step 5: Solve for x
    x = 1,097,537.07/946.34
  6. Step 6: Final answer
    x = 1,159.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.