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Finding the Fourth Proportional to 830.91, 1,146.66 and 569.01

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Solution

The fourth proportional to 830.91, 1,146.66 and 569.01 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.91 : 1,146.66 = 569.01 : x
  2. Step 2: Convert to fraction form
    830.91/1,146.66 = 569.01/x
  3. Step 3: Cross multiply
    830.91x = 1,146.66 × 569.01
  4. Step 4: Simplify right side
    830.91x = 652,461.01
  5. Step 5: Solve for x
    x = 652,461.01/830.91
  6. Step 6: Final answer
    x = 785.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.