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Finding the Fourth Proportional to 1,056.93, 1,583.90 and 501.05

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Solution

The fourth proportional to 1,056.93, 1,583.90 and 501.05 is: 750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.93 : 1,583.90 = 501.05 : x
  2. Step 2: Convert to fraction form
    1,056.93/1,583.90 = 501.05/x
  3. Step 3: Cross multiply
    1,056.93x = 1,583.90 × 501.05
  4. Step 4: Simplify right side
    1,056.93x = 793,602.67
  5. Step 5: Solve for x
    x = 793,602.67/1,056.93
  6. Step 6: Final answer
    x = 750.86

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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.