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Finding the Fourth Proportional to 1,045.04, 1,567.60 and 428.64

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Solution

The fourth proportional to 1,045.04, 1,567.60 and 428.64 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.04 : 1,567.60 = 428.64 : x
  2. Step 2: Convert to fraction form
    1,045.04/1,567.60 = 428.64/x
  3. Step 3: Cross multiply
    1,045.04x = 1,567.60 × 428.64
  4. Step 4: Simplify right side
    1,045.04x = 671,936.06
  5. Step 5: Solve for x
    x = 671,936.06/1,045.04
  6. Step 6: Final answer
    x = 642.98

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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.