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Finding the Fourth Proportional to 1,417.07, 2,125.47 and 442.64

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Solution

The fourth proportional to 1,417.07, 2,125.47 and 442.64 is: 663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.07 : 2,125.47 = 442.64 : x
  2. Step 2: Convert to fraction form
    1,417.07/2,125.47 = 442.64/x
  3. Step 3: Cross multiply
    1,417.07x = 2,125.47 × 442.64
  4. Step 4: Simplify right side
    1,417.07x = 940,818.04
  5. Step 5: Solve for x
    x = 940,818.04/1,417.07
  6. Step 6: Final answer
    x = 663.92

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