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Finding the Fourth Proportional to 646.57, 970.53 and 570.03

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Solution

The fourth proportional to 646.57, 970.53 and 570.03 is: 855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.57 : 970.53 = 570.03 : x
  2. Step 2: Convert to fraction form
    646.57/970.53 = 570.03/x
  3. Step 3: Cross multiply
    646.57x = 970.53 × 570.03
  4. Step 4: Simplify right side
    646.57x = 553,231.22
  5. Step 5: Solve for x
    x = 553,231.22/646.57
  6. Step 6: Final answer
    x = 855.64

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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.