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Finding the Fourth Proportional to 1,045.93, 1,570.69 and 929.06

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Solution

The fourth proportional to 1,045.93, 1,570.69 and 929.06 is: 1,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.93 : 1,570.69 = 929.06 : x
  2. Step 2: Convert to fraction form
    1,045.93/1,570.69 = 929.06/x
  3. Step 3: Cross multiply
    1,045.93x = 1,570.69 × 929.06
  4. Step 4: Simplify right side
    1,045.93x = 1,459,265.25
  5. Step 5: Solve for x
    x = 1,459,265.25/1,045.93
  6. Step 6: Final answer
    x = 1,395.18

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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.