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Finding the Fourth Proportional to 1,038.42, 1,557.63 and 975.06

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Solution

The fourth proportional to 1,038.42, 1,557.63 and 975.06 is: 1,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,557.63 = 975.06 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,557.63 = 975.06/x
  3. Step 3: Cross multiply
    1,038.42x = 1,557.63 × 975.06
  4. Step 4: Simplify right side
    1,038.42x = 1,518,782.71
  5. Step 5: Solve for x
    x = 1,518,782.71/1,038.42
  6. Step 6: Final answer
    x = 1,462.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.